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Finding the Third Proportional to 105,416 and 136,799

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Solution

The third proportional to 105,416 and 136,799 is: 177,524.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,416 : 136,799 = 136,799 : x
  2. Step 2: Convert to fraction form
    105,416/136,799 = 136,799/x
  3. Step 3: Cross multiply
    105,416x = 136,799 × 136,799
  4. Step 4: Simplify right side
    105,416x = 18,713,966,401
  5. Step 5: Solve for x
    x = 18,713,966,401/105,416
  6. Step 6: Final answer
    x = 177,524.91

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Why These Related Problems?

These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.