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Finding the Third Proportional to 71,952 and 107,190

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Solution

The third proportional to 71,952 and 107,190 is: 159,685.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,952 : 107,190 = 107,190 : x
  2. Step 2: Convert to fraction form
    71,952/107,190 = 107,190/x
  3. Step 3: Cross multiply
    71,952x = 107,190 × 107,190
  4. Step 4: Simplify right side
    71,952x = 11,489,696,100
  5. Step 5: Solve for x
    x = 11,489,696,100/71,952
  6. Step 6: Final answer
    x = 159,685.57

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.