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Finding the Third Proportional to 71,480 and 108,756

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Solution

The third proportional to 71,480 and 108,756 is: 165,471.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,480 : 108,756 = 108,756 : x
  2. Step 2: Convert to fraction form
    71,480/108,756 = 108,756/x
  3. Step 3: Cross multiply
    71,480x = 108,756 × 108,756
  4. Step 4: Simplify right side
    71,480x = 11,827,867,536
  5. Step 5: Solve for x
    x = 11,827,867,536/71,480
  6. Step 6: Final answer
    x = 165,471.01

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.