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Finding the Third Proportional to 639,508.50 and 923,905.13

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Solution

The third proportional to 639,508.50 and 923,905.13 is: 1,334,776.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    639,508.50 : 923,905.13 = 923,905.13 : x
  2. Step 2: Convert to fraction form
    639,508.50/923,905.13 = 923,905.13/x
  3. Step 3: Cross multiply
    639,508.50x = 923,905.13 × 923,905.13
  4. Step 4: Simplify right side
    639,508.50x = 853,600,680,001.27
  5. Step 5: Solve for x
    x = 853,600,680,001.27/639,508.50
  6. Step 6: Final answer
    x = 1,334,776.13

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.