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Finding the Third Proportional to 71,569 and 151,778

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Solution

The third proportional to 71,569 and 151,778 is: 321,879.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,569 : 151,778 = 151,778 : x
  2. Step 2: Convert to fraction form
    71,569/151,778 = 151,778/x
  3. Step 3: Cross multiply
    71,569x = 151,778 × 151,778
  4. Step 4: Simplify right side
    71,569x = 23,036,561,284
  5. Step 5: Solve for x
    x = 23,036,561,284/71,569
  6. Step 6: Final answer
    x = 321,879.04

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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.