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Finding the Third Proportional to 772,316,591,686 and 1,662,667,200,140

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Solution

The third proportional to 772,316,591,686 and 1,662,667,200,140 is: 3,579,441,705,876.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    772,316,591,686 : 1,662,667,200,140 = 1,662,667,200,140 : x
  2. Step 2: Convert to fraction form
    772,316,591,686/1,662,667,200,140 = 1,662,667,200,140/x
  3. Step 3: Cross multiply
    772,316,591,686x = 1,662,667,200,140 × 1,662,667,200,140
  4. Step 4: Simplify right side
    772,316,591,686x = 2,764,462,218,421,387,042,750,464
  5. Step 5: Solve for x
    x = 2,764,462,218,421,387,042,750,464/772,316,591,686
  6. Step 6: Final answer
    x = 3,579,441,705,876.66

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.