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Finding the Third Proportional to 83,643 and 171,363

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Solution

The third proportional to 83,643 and 171,363 is: 351,078.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,643 : 171,363 = 171,363 : x
  2. Step 2: Convert to fraction form
    83,643/171,363 = 171,363/x
  3. Step 3: Cross multiply
    83,643x = 171,363 × 171,363
  4. Step 4: Simplify right side
    83,643x = 29,365,277,769
  5. Step 5: Solve for x
    x = 29,365,277,769/83,643
  6. Step 6: Final answer
    x = 351,078.72

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.