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Finding the Third Proportional to 86,640 and 132,280

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Solution

The third proportional to 86,640 and 132,280 is: 201,962.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,640 : 132,280 = 132,280 : x
  2. Step 2: Convert to fraction form
    86,640/132,280 = 132,280/x
  3. Step 3: Cross multiply
    86,640x = 132,280 × 132,280
  4. Step 4: Simplify right side
    86,640x = 17,497,998,400
  5. Step 5: Solve for x
    x = 17,497,998,400/86,640
  6. Step 6: Final answer
    x = 201,962.12

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.