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Finding the Third Proportional to 71,949 and 112,620

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Solution

The third proportional to 71,949 and 112,620 is: 176,281.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,949 : 112,620 = 112,620 : x
  2. Step 2: Convert to fraction form
    71,949/112,620 = 112,620/x
  3. Step 3: Cross multiply
    71,949x = 112,620 × 112,620
  4. Step 4: Simplify right side
    71,949x = 12,683,264,400
  5. Step 5: Solve for x
    x = 12,683,264,400/71,949
  6. Step 6: Final answer
    x = 176,281.32

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.