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Finding the Third Proportional to 70,376 and 109,135

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Solution

The third proportional to 70,376 and 109,135 is: 169,240.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,376 : 109,135 = 109,135 : x
  2. Step 2: Convert to fraction form
    70,376/109,135 = 109,135/x
  3. Step 3: Cross multiply
    70,376x = 109,135 × 109,135
  4. Step 4: Simplify right side
    70,376x = 11,910,448,225
  5. Step 5: Solve for x
    x = 11,910,448,225/70,376
  6. Step 6: Final answer
    x = 169,240.20

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.