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Finding the Third Proportional to 42,980 and 92,309

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Solution

The third proportional to 42,980 and 92,309 is: 198,253.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,980 : 92,309 = 92,309 : x
  2. Step 2: Convert to fraction form
    42,980/92,309 = 92,309/x
  3. Step 3: Cross multiply
    42,980x = 92,309 × 92,309
  4. Step 4: Simplify right side
    42,980x = 8,520,951,481
  5. Step 5: Solve for x
    x = 8,520,951,481/42,980
  6. Step 6: Final answer
    x = 198,253.87

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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.