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Finding the Third Proportional to 512,001 and 679,402.50

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Solution

The third proportional to 512,001 and 679,402.50 is: 901,536.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,001 : 679,402.50 = 679,402.50 : x
  2. Step 2: Convert to fraction form
    512,001/679,402.50 = 679,402.50/x
  3. Step 3: Cross multiply
    512,001x = 679,402.50 × 679,402.50
  4. Step 4: Simplify right side
    512,001x = 461,587,757,006.25
  5. Step 5: Solve for x
    x = 461,587,757,006.25/512,001
  6. Step 6: Final answer
    x = 901,536.83

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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.