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Finding the Third Proportional to 90,716 and 126,911

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Solution

The third proportional to 90,716 and 126,911 is: 177,547.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,716 : 126,911 = 126,911 : x
  2. Step 2: Convert to fraction form
    90,716/126,911 = 126,911/x
  3. Step 3: Cross multiply
    90,716x = 126,911 × 126,911
  4. Step 4: Simplify right side
    90,716x = 16,106,401,921
  5. Step 5: Solve for x
    x = 16,106,401,921/90,716
  6. Step 6: Final answer
    x = 177,547.53

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.