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Finding the Third Proportional to 78,740 and 166,376

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Solution

The third proportional to 78,740 and 166,376 is: 351,549.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,740 : 166,376 = 166,376 : x
  2. Step 2: Convert to fraction form
    78,740/166,376 = 166,376/x
  3. Step 3: Cross multiply
    78,740x = 166,376 × 166,376
  4. Step 4: Simplify right side
    78,740x = 27,680,973,376
  5. Step 5: Solve for x
    x = 27,680,973,376/78,740
  6. Step 6: Final answer
    x = 351,549.06

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.