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Finding the Third Proportional to 320,871 and 687,294

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Solution

The third proportional to 320,871 and 687,294 is: 1,472,158.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,871 : 687,294 = 687,294 : x
  2. Step 2: Convert to fraction form
    320,871/687,294 = 687,294/x
  3. Step 3: Cross multiply
    320,871x = 687,294 × 687,294
  4. Step 4: Simplify right side
    320,871x = 472,373,042,436
  5. Step 5: Solve for x
    x = 472,373,042,436/320,871
  6. Step 6: Final answer
    x = 1,472,158.73

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.