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Finding the Third Proportional to 323,292 and 687,486

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Solution

The third proportional to 323,292 and 687,486 is: 1,461,950.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,292 : 687,486 = 687,486 : x
  2. Step 2: Convert to fraction form
    323,292/687,486 = 687,486/x
  3. Step 3: Cross multiply
    323,292x = 687,486 × 687,486
  4. Step 4: Simplify right side
    323,292x = 472,637,000,196
  5. Step 5: Solve for x
    x = 472,637,000,196/323,292
  6. Step 6: Final answer
    x = 1,461,950.81

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.