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Finding the Third Proportional to 81,477 and 124,637

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Solution

The third proportional to 81,477 and 124,637 is: 190,659.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,477 : 124,637 = 124,637 : x
  2. Step 2: Convert to fraction form
    81,477/124,637 = 124,637/x
  3. Step 3: Cross multiply
    81,477x = 124,637 × 124,637
  4. Step 4: Simplify right side
    81,477x = 15,534,381,769
  5. Step 5: Solve for x
    x = 15,534,381,769/81,477
  6. Step 6: Final answer
    x = 190,659.72

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.