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Finding the Third Proportional to 774,495 and 1,686,783

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Solution

The third proportional to 774,495 and 1,686,783 is: 3,673,667.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    774,495 : 1,686,783 = 1,686,783 : x
  2. Step 2: Convert to fraction form
    774,495/1,686,783 = 1,686,783/x
  3. Step 3: Cross multiply
    774,495x = 1,686,783 × 1,686,783
  4. Step 4: Simplify right side
    774,495x = 2,845,236,889,089
  5. Step 5: Solve for x
    x = 2,845,236,889,089/774,495
  6. Step 6: Final answer
    x = 3,673,667.21

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.