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Finding the Third Proportional to 107,985 and 121,517

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Solution

The third proportional to 107,985 and 121,517 is: 136,744.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,985 : 121,517 = 121,517 : x
  2. Step 2: Convert to fraction form
    107,985/121,517 = 121,517/x
  3. Step 3: Cross multiply
    107,985x = 121,517 × 121,517
  4. Step 4: Simplify right side
    107,985x = 14,766,381,289
  5. Step 5: Solve for x
    x = 14,766,381,289/107,985
  6. Step 6: Final answer
    x = 136,744.75

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Why These Related Problems?

These problems maintain the same ratio (1.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.