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Finding the Third Proportional to 66,646.13 and 142,441.88

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Solution

The third proportional to 66,646.13 and 142,441.88 is: 304,439.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,646.13 : 142,441.88 = 142,441.88 : x
  2. Step 2: Convert to fraction form
    66,646.13/142,441.88 = 142,441.88/x
  3. Step 3: Cross multiply
    66,646.13x = 142,441.88 × 142,441.88
  4. Step 4: Simplify right side
    66,646.13x = 20,289,687,753.52
  5. Step 5: Solve for x
    x = 20,289,687,753.52/66,646.13
  6. Step 6: Final answer
    x = 304,439.12

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.