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Finding the Third Proportional to 42,190 and 86,486

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Solution

The third proportional to 42,190 and 86,486 is: 177,289.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,190 : 86,486 = 86,486 : x
  2. Step 2: Convert to fraction form
    42,190/86,486 = 86,486/x
  3. Step 3: Cross multiply
    42,190x = 86,486 × 86,486
  4. Step 4: Simplify right side
    42,190x = 7,479,828,196
  5. Step 5: Solve for x
    x = 7,479,828,196/42,190
  6. Step 6: Final answer
    x = 177,289.13

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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.