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Finding the Third Proportional to 45,158 and 69,785

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Solution

The third proportional to 45,158 and 69,785 is: 107,842.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,158 : 69,785 = 69,785 : x
  2. Step 2: Convert to fraction form
    45,158/69,785 = 69,785/x
  3. Step 3: Cross multiply
    45,158x = 69,785 × 69,785
  4. Step 4: Simplify right side
    45,158x = 4,869,946,225
  5. Step 5: Solve for x
    x = 4,869,946,225/45,158
  6. Step 6: Final answer
    x = 107,842.38

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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.