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Finding the Third Proportional to 69,478 and 107,648

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Solution

The third proportional to 69,478 and 107,648 is: 166,787.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,478 : 107,648 = 107,648 : x
  2. Step 2: Convert to fraction form
    69,478/107,648 = 107,648/x
  3. Step 3: Cross multiply
    69,478x = 107,648 × 107,648
  4. Step 4: Simplify right side
    69,478x = 11,588,091,904
  5. Step 5: Solve for x
    x = 11,588,091,904/69,478
  6. Step 6: Final answer
    x = 166,787.93

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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.