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Finding the Third Proportional to 687,553 and 1,010,267

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Solution

The third proportional to 687,553 and 1,010,267 is: 1,484,451.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    687,553 : 1,010,267 = 1,010,267 : x
  2. Step 2: Convert to fraction form
    687,553/1,010,267 = 1,010,267/x
  3. Step 3: Cross multiply
    687,553x = 1,010,267 × 1,010,267
  4. Step 4: Simplify right side
    687,553x = 1,020,639,411,289
  5. Step 5: Solve for x
    x = 1,020,639,411,289/687,553
  6. Step 6: Final answer
    x = 1,484,451.98

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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.