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Finding the Third Proportional to 292,356 and 639,387

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Solution

The third proportional to 292,356 and 639,387 is: 1,398,349.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,356 : 639,387 = 639,387 : x
  2. Step 2: Convert to fraction form
    292,356/639,387 = 639,387/x
  3. Step 3: Cross multiply
    292,356x = 639,387 × 639,387
  4. Step 4: Simplify right side
    292,356x = 408,815,735,769
  5. Step 5: Solve for x
    x = 408,815,735,769/292,356
  6. Step 6: Final answer
    x = 1,398,349.05

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.