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Finding the Third Proportional to 31,984 and 66,528

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Solution

The third proportional to 31,984 and 66,528 is: 138,380.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,984 : 66,528 = 66,528 : x
  2. Step 2: Convert to fraction form
    31,984/66,528 = 66,528/x
  3. Step 3: Cross multiply
    31,984x = 66,528 × 66,528
  4. Step 4: Simplify right side
    31,984x = 4,425,974,784
  5. Step 5: Solve for x
    x = 4,425,974,784/31,984
  6. Step 6: Final answer
    x = 138,380.90

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.