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Finding the Third Proportional to 81,428 and 129,248

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Solution

The third proportional to 81,428 and 129,248 is: 205,151.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,428 : 129,248 = 129,248 : x
  2. Step 2: Convert to fraction form
    81,428/129,248 = 129,248/x
  3. Step 3: Cross multiply
    81,428x = 129,248 × 129,248
  4. Step 4: Simplify right side
    81,428x = 16,705,045,504
  5. Step 5: Solve for x
    x = 16,705,045,504/81,428
  6. Step 6: Final answer
    x = 205,151.12

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.