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Finding the Third Proportional to 66,600 and 142,677

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Solution

The third proportional to 66,600 and 142,677 is: 305,656.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,600 : 142,677 = 142,677 : x
  2. Step 2: Convert to fraction form
    66,600/142,677 = 142,677/x
  3. Step 3: Cross multiply
    66,600x = 142,677 × 142,677
  4. Step 4: Simplify right side
    66,600x = 20,356,726,329
  5. Step 5: Solve for x
    x = 20,356,726,329/66,600
  6. Step 6: Final answer
    x = 305,656.55

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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.