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Finding the Third Proportional to 89,780 and 136,534

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Solution

The third proportional to 89,780 and 136,534 is: 207,635.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,780 : 136,534 = 136,534 : x
  2. Step 2: Convert to fraction form
    89,780/136,534 = 136,534/x
  3. Step 3: Cross multiply
    89,780x = 136,534 × 136,534
  4. Step 4: Simplify right side
    89,780x = 18,641,533,156
  5. Step 5: Solve for x
    x = 18,641,533,156/89,780
  6. Step 6: Final answer
    x = 207,635.70

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.