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Finding the Third Proportional to 76,469 and 120,507

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Solution

The third proportional to 76,469 and 120,507 is: 189,906.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,469 : 120,507 = 120,507 : x
  2. Step 2: Convert to fraction form
    76,469/120,507 = 120,507/x
  3. Step 3: Cross multiply
    76,469x = 120,507 × 120,507
  4. Step 4: Simplify right side
    76,469x = 14,521,937,049
  5. Step 5: Solve for x
    x = 14,521,937,049/76,469
  6. Step 6: Final answer
    x = 189,906.20

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.