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Finding the Third Proportional to 41,336 and 89,674

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Solution

The third proportional to 41,336 and 89,674 is: 194,538.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,336 : 89,674 = 89,674 : x
  2. Step 2: Convert to fraction form
    41,336/89,674 = 89,674/x
  3. Step 3: Cross multiply
    41,336x = 89,674 × 89,674
  4. Step 4: Simplify right side
    41,336x = 8,041,426,276
  5. Step 5: Solve for x
    x = 8,041,426,276/41,336
  6. Step 6: Final answer
    x = 194,538.08

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.