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Finding the Third Proportional to 64,166 and 103,376

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Solution

The third proportional to 64,166 and 103,376 is: 166,546.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,166 : 103,376 = 103,376 : x
  2. Step 2: Convert to fraction form
    64,166/103,376 = 103,376/x
  3. Step 3: Cross multiply
    64,166x = 103,376 × 103,376
  4. Step 4: Simplify right side
    64,166x = 10,686,597,376
  5. Step 5: Solve for x
    x = 10,686,597,376/64,166
  6. Step 6: Final answer
    x = 166,546.11

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.