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Finding the Third Proportional to 42,420 and 92,127

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Solution

The third proportional to 42,420 and 92,127 is: 200,079.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,420 : 92,127 = 92,127 : x
  2. Step 2: Convert to fraction form
    42,420/92,127 = 92,127/x
  3. Step 3: Cross multiply
    42,420x = 92,127 × 92,127
  4. Step 4: Simplify right side
    42,420x = 8,487,384,129
  5. Step 5: Solve for x
    x = 8,487,384,129/42,420
  6. Step 6: Final answer
    x = 200,079.78

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.