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Finding the Third Proportional to 76,471 and 121,468

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Solution

The third proportional to 76,471 and 121,468 is: 192,942.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,471 : 121,468 = 121,468 : x
  2. Step 2: Convert to fraction form
    76,471/121,468 = 121,468/x
  3. Step 3: Cross multiply
    76,471x = 121,468 × 121,468
  4. Step 4: Simplify right side
    76,471x = 14,754,475,024
  5. Step 5: Solve for x
    x = 14,754,475,024/76,471
  6. Step 6: Final answer
    x = 192,942.10

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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.