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Finding the Third Proportional to 71,616 and 124,320

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Solution

The third proportional to 71,616 and 124,320 is: 215,810.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,616 : 124,320 = 124,320 : x
  2. Step 2: Convert to fraction form
    71,616/124,320 = 124,320/x
  3. Step 3: Cross multiply
    71,616x = 124,320 × 124,320
  4. Step 4: Simplify right side
    71,616x = 15,455,462,400
  5. Step 5: Solve for x
    x = 15,455,462,400/71,616
  6. Step 6: Final answer
    x = 215,810.19

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Why These Related Problems?

These problems maintain the same ratio (1.74) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.