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Finding the Third Proportional to 79,213 and 121,591

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Solution

The third proportional to 79,213 and 121,591 is: 186,640.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,213 : 121,591 = 121,591 : x
  2. Step 2: Convert to fraction form
    79,213/121,591 = 121,591/x
  3. Step 3: Cross multiply
    79,213x = 121,591 × 121,591
  4. Step 4: Simplify right side
    79,213x = 14,784,371,281
  5. Step 5: Solve for x
    x = 14,784,371,281/79,213
  6. Step 6: Final answer
    x = 186,640.72

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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.