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Finding the Third Proportional to 42,188 and 86,482

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Solution

The third proportional to 42,188 and 86,482 is: 177,281.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,188 : 86,482 = 86,482 : x
  2. Step 2: Convert to fraction form
    42,188/86,482 = 86,482/x
  3. Step 3: Cross multiply
    42,188x = 86,482 × 86,482
  4. Step 4: Simplify right side
    42,188x = 7,479,136,324
  5. Step 5: Solve for x
    x = 7,479,136,324/42,188
  6. Step 6: Final answer
    x = 177,281.13

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.