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Finding the Third Proportional to 687,561 and 1,010,279

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Solution

The third proportional to 687,561 and 1,010,279 is: 1,484,469.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    687,561 : 1,010,279 = 1,010,279 : x
  2. Step 2: Convert to fraction form
    687,561/1,010,279 = 1,010,279/x
  3. Step 3: Cross multiply
    687,561x = 1,010,279 × 1,010,279
  4. Step 4: Simplify right side
    687,561x = 1,020,663,657,841
  5. Step 5: Solve for x
    x = 1,020,663,657,841/687,561
  6. Step 6: Final answer
    x = 1,484,469.97

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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.