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Finding the Third Proportional to 89,782 and 136,537

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Solution

The third proportional to 89,782 and 136,537 is: 207,640.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,782 : 136,537 = 136,537 : x
  2. Step 2: Convert to fraction form
    89,782/136,537 = 136,537/x
  3. Step 3: Cross multiply
    89,782x = 136,537 × 136,537
  4. Step 4: Simplify right side
    89,782x = 18,642,352,369
  5. Step 5: Solve for x
    x = 18,642,352,369/89,782
  6. Step 6: Final answer
    x = 207,640.20

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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.