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Finding the Third Proportional to 66,414 and 142,620

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Solution

The third proportional to 66,414 and 142,620 is: 306,267.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,414 : 142,620 = 142,620 : x
  2. Step 2: Convert to fraction form
    66,414/142,620 = 142,620/x
  3. Step 3: Cross multiply
    66,414x = 142,620 × 142,620
  4. Step 4: Simplify right side
    66,414x = 20,340,464,400
  5. Step 5: Solve for x
    x = 20,340,464,400/66,414
  6. Step 6: Final answer
    x = 306,267.72

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.