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Finding the Third Proportional to 687,001.50 and 1,010,519.30

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Solution

The third proportional to 687,001.50 and 1,010,519.30 is: 1,486,385.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    687,001.50 : 1,010,519.30 = 1,010,519.30 : x
  2. Step 2: Convert to fraction form
    687,001.50/1,010,519.30 = 1,010,519.30/x
  3. Step 3: Cross multiply
    687,001.50x = 1,010,519.30 × 1,010,519.30
  4. Step 4: Simplify right side
    687,001.50x = 1,021,149,249,356.74
  5. Step 5: Solve for x
    x = 1,021,149,249,356.74/687,001.50
  6. Step 6: Final answer
    x = 1,486,385.76

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.