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Finding the Third Proportional to 45,445 and 69,761

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Solution

The third proportional to 45,445 and 69,761 is: 107,087.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,445 : 69,761 = 69,761 : x
  2. Step 2: Convert to fraction form
    45,445/69,761 = 69,761/x
  3. Step 3: Cross multiply
    45,445x = 69,761 × 69,761
  4. Step 4: Simplify right side
    45,445x = 4,866,597,121
  5. Step 5: Solve for x
    x = 4,866,597,121/45,445
  6. Step 6: Final answer
    x = 107,087.63

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.