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Finding the Third Proportional to 89,314 and 121,291

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Solution

The third proportional to 89,314 and 121,291 is: 164,716.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,314 : 121,291 = 121,291 : x
  2. Step 2: Convert to fraction form
    89,314/121,291 = 121,291/x
  3. Step 3: Cross multiply
    89,314x = 121,291 × 121,291
  4. Step 4: Simplify right side
    89,314x = 14,711,506,681
  5. Step 5: Solve for x
    x = 14,711,506,681/89,314
  6. Step 6: Final answer
    x = 164,716.69

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.