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Finding the Third Proportional to 423,187.13 and 656,001.75

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Solution

The third proportional to 423,187.13 and 656,001.75 is: 1,016,898.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,187.13 : 656,001.75 = 656,001.75 : x
  2. Step 2: Convert to fraction form
    423,187.13/656,001.75 = 656,001.75/x
  3. Step 3: Cross multiply
    423,187.13x = 656,001.75 × 656,001.75
  4. Step 4: Simplify right side
    423,187.13x = 430,338,296,003.06
  5. Step 5: Solve for x
    x = 430,338,296,003.06/423,187.13
  6. Step 6: Final answer
    x = 1,016,898.37

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.