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Finding the Third Proportional to 12,723.50 and 29,480

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Solution

The third proportional to 12,723.50 and 29,480 is: 68,304.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,723.50 : 29,480 = 29,480 : x
  2. Step 2: Convert to fraction form
    12,723.50/29,480 = 29,480/x
  3. Step 3: Cross multiply
    12,723.50x = 29,480 × 29,480
  4. Step 4: Simplify right side
    12,723.50x = 869,070,400
  5. Step 5: Solve for x
    x = 869,070,400/12,723.50
  6. Step 6: Final answer
    x = 68,304.35

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.