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Finding the Third Proportional to 66,602 and 141,681

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Solution

The third proportional to 66,602 and 141,681 is: 301,394.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,602 : 141,681 = 141,681 : x
  2. Step 2: Convert to fraction form
    66,602/141,681 = 141,681/x
  3. Step 3: Cross multiply
    66,602x = 141,681 × 141,681
  4. Step 4: Simplify right side
    66,602x = 20,073,505,761
  5. Step 5: Solve for x
    x = 20,073,505,761/66,602
  6. Step 6: Final answer
    x = 301,394.94

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.