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Finding the Third Proportional to 780,628.01 and 1,664,318.39

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Solution

The third proportional to 780,628.01 and 1,664,318.39 is: 3,548,368.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    780,628.01 : 1,664,318.39 = 1,664,318.39 : x
  2. Step 2: Convert to fraction form
    780,628.01/1,664,318.39 = 1,664,318.39/x
  3. Step 3: Cross multiply
    780,628.01x = 1,664,318.39 × 1,664,318.39
  4. Step 4: Simplify right side
    780,628.01x = 2,769,955,705,372.59
  5. Step 5: Solve for x
    x = 2,769,955,705,372.59/780,628.01
  6. Step 6: Final answer
    x = 3,548,368.34

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.