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Finding the Third Proportional to 69,478 and 110,642

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Solution

The third proportional to 69,478 and 110,642 is: 176,194.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,478 : 110,642 = 110,642 : x
  2. Step 2: Convert to fraction form
    69,478/110,642 = 110,642/x
  3. Step 3: Cross multiply
    69,478x = 110,642 × 110,642
  4. Step 4: Simplify right side
    69,478x = 12,241,652,164
  5. Step 5: Solve for x
    x = 12,241,652,164/69,478
  6. Step 6: Final answer
    x = 176,194.65

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.