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Finding the Third Proportional to 80,140 and 124,586

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Solution

The third proportional to 80,140 and 124,586 is: 193,681.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,140 : 124,586 = 124,586 : x
  2. Step 2: Convert to fraction form
    80,140/124,586 = 124,586/x
  3. Step 3: Cross multiply
    80,140x = 124,586 × 124,586
  4. Step 4: Simplify right side
    80,140x = 15,521,671,396
  5. Step 5: Solve for x
    x = 15,521,671,396/80,140
  6. Step 6: Final answer
    x = 193,681.95

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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.