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Finding the Third Proportional to 71,154 and 151,069

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Solution

The third proportional to 71,154 and 151,069 is: 320,738.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,154 : 151,069 = 151,069 : x
  2. Step 2: Convert to fraction form
    71,154/151,069 = 151,069/x
  3. Step 3: Cross multiply
    71,154x = 151,069 × 151,069
  4. Step 4: Simplify right side
    71,154x = 22,821,842,761
  5. Step 5: Solve for x
    x = 22,821,842,761/71,154
  6. Step 6: Final answer
    x = 320,738.72

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.