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Finding the Third Proportional to 400,123.13 and 711,431.44

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Solution

The third proportional to 400,123.13 and 711,431.44 is: 1,264,947.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,123.13 : 711,431.44 = 711,431.44 : x
  2. Step 2: Convert to fraction form
    400,123.13/711,431.44 = 711,431.44/x
  3. Step 3: Cross multiply
    400,123.13x = 711,431.44 × 711,431.44
  4. Step 4: Simplify right side
    400,123.13x = 506,134,690,263.32
  5. Step 5: Solve for x
    x = 506,134,690,263.32/400,123.13
  6. Step 6: Final answer
    x = 1,264,947.36

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Why These Related Problems?

These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.