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Finding the Third Proportional to 73,062 and 112,671

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Solution

The third proportional to 73,062 and 112,671 is: 173,753.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,062 : 112,671 = 112,671 : x
  2. Step 2: Convert to fraction form
    73,062/112,671 = 112,671/x
  3. Step 3: Cross multiply
    73,062x = 112,671 × 112,671
  4. Step 4: Simplify right side
    73,062x = 12,694,754,241
  5. Step 5: Solve for x
    x = 12,694,754,241/73,062
  6. Step 6: Final answer
    x = 173,753.17

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.