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Finding the Third Proportional to 71,668 and 155,774

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Solution

The third proportional to 71,668 and 155,774 is: 338,582.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,668 : 155,774 = 155,774 : x
  2. Step 2: Convert to fraction form
    71,668/155,774 = 155,774/x
  3. Step 3: Cross multiply
    71,668x = 155,774 × 155,774
  4. Step 4: Simplify right side
    71,668x = 24,265,539,076
  5. Step 5: Solve for x
    x = 24,265,539,076/71,668
  6. Step 6: Final answer
    x = 338,582.62

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.