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Finding the Third Proportional to 20,327 and 31,459

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Solution

The third proportional to 20,327 and 31,459 is: 48,687.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,327 : 31,459 = 31,459 : x
  2. Step 2: Convert to fraction form
    20,327/31,459 = 31,459/x
  3. Step 3: Cross multiply
    20,327x = 31,459 × 31,459
  4. Step 4: Simplify right side
    20,327x = 989,668,681
  5. Step 5: Solve for x
    x = 989,668,681/20,327
  6. Step 6: Final answer
    x = 48,687.40

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.