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Finding the Third Proportional to 66,156 and 142,692

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Solution

The third proportional to 66,156 and 142,692 is: 307,772.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,156 : 142,692 = 142,692 : x
  2. Step 2: Convert to fraction form
    66,156/142,692 = 142,692/x
  3. Step 3: Cross multiply
    66,156x = 142,692 × 142,692
  4. Step 4: Simplify right side
    66,156x = 20,361,006,864
  5. Step 5: Solve for x
    x = 20,361,006,864/66,156
  6. Step 6: Final answer
    x = 307,772.64

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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.