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Finding the Third Proportional to 66,181 and 142,730

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Solution

The third proportional to 66,181 and 142,730 is: 307,820.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,181 : 142,730 = 142,730 : x
  2. Step 2: Convert to fraction form
    66,181/142,730 = 142,730/x
  3. Step 3: Cross multiply
    66,181x = 142,730 × 142,730
  4. Step 4: Simplify right side
    66,181x = 20,371,852,900
  5. Step 5: Solve for x
    x = 20,371,852,900/66,181
  6. Step 6: Final answer
    x = 307,820.26

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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.