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Finding the Third Proportional to 66,149.44 and 142,909.31

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Solution

The third proportional to 66,149.44 and 142,909.31 is: 308,741.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,149.44 : 142,909.31 = 142,909.31 : x
  2. Step 2: Convert to fraction form
    66,149.44/142,909.31 = 142,909.31/x
  3. Step 3: Cross multiply
    66,149.44x = 142,909.31 × 142,909.31
  4. Step 4: Simplify right side
    66,149.44x = 20,423,071,599.22
  5. Step 5: Solve for x
    x = 20,423,071,599.22/66,149.44
  6. Step 6: Final answer
    x = 308,741.43

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.