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Finding the Third Proportional to 142,098 and 212,171

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Solution

The third proportional to 142,098 and 212,171 is: 316,799.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,098 : 212,171 = 212,171 : x
  2. Step 2: Convert to fraction form
    142,098/212,171 = 212,171/x
  3. Step 3: Cross multiply
    142,098x = 212,171 × 212,171
  4. Step 4: Simplify right side
    142,098x = 45,016,533,241
  5. Step 5: Solve for x
    x = 45,016,533,241/142,098
  6. Step 6: Final answer
    x = 316,799.20

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.