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Finding the Third Proportional to 4,642.50 and 10,132.13

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Solution

The third proportional to 4,642.50 and 10,132.13 is: 22,113.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,642.50 : 10,132.13 = 10,132.13 : x
  2. Step 2: Convert to fraction form
    4,642.50/10,132.13 = 10,132.13/x
  3. Step 3: Cross multiply
    4,642.50x = 10,132.13 × 10,132.13
  4. Step 4: Simplify right side
    4,642.50x = 102,659,957.02
  5. Step 5: Solve for x
    x = 102,659,957.02/4,642.50
  6. Step 6: Final answer
    x = 22,113.08

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.