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Finding the Third Proportional to 386,905.78 and 516,013.03

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Solution

The third proportional to 386,905.78 and 516,013.03 is: 688,202.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,905.78 : 516,013.03 = 516,013.03 : x
  2. Step 2: Convert to fraction form
    386,905.78/516,013.03 = 516,013.03/x
  3. Step 3: Cross multiply
    386,905.78x = 516,013.03 × 516,013.03
  4. Step 4: Simplify right side
    386,905.78x = 266,269,448,419.81
  5. Step 5: Solve for x
    x = 266,269,448,419.81/386,905.78
  6. Step 6: Final answer
    x = 688,202.30

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.