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Finding the Third Proportional to 12,347.50 and 29,129.75

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Solution

The third proportional to 12,347.50 and 29,129.75 is: 68,721.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,347.50 : 29,129.75 = 29,129.75 : x
  2. Step 2: Convert to fraction form
    12,347.50/29,129.75 = 29,129.75/x
  3. Step 3: Cross multiply
    12,347.50x = 29,129.75 × 29,129.75
  4. Step 4: Simplify right side
    12,347.50x = 848,542,335.06
  5. Step 5: Solve for x
    x = 848,542,335.06/12,347.50
  6. Step 6: Final answer
    x = 68,721.79

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.