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Finding the Third Proportional to 45,540 and 70,515

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Solution

The third proportional to 45,540 and 70,515 is: 109,186.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,540 : 70,515 = 70,515 : x
  2. Step 2: Convert to fraction form
    45,540/70,515 = 70,515/x
  3. Step 3: Cross multiply
    45,540x = 70,515 × 70,515
  4. Step 4: Simplify right side
    45,540x = 4,972,365,225
  5. Step 5: Solve for x
    x = 4,972,365,225/45,540
  6. Step 6: Final answer
    x = 109,186.76

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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.