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Finding the Third Proportional to 76,469 and 121,465

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Solution

The third proportional to 76,469 and 121,465 is: 192,937.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,469 : 121,465 = 121,465 : x
  2. Step 2: Convert to fraction form
    76,469/121,465 = 121,465/x
  3. Step 3: Cross multiply
    76,469x = 121,465 × 121,465
  4. Step 4: Simplify right side
    76,469x = 14,753,746,225
  5. Step 5: Solve for x
    x = 14,753,746,225/76,469
  6. Step 6: Final answer
    x = 192,937.61

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.