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Finding the Third Proportional to 70,236 and 98,802

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Solution

The third proportional to 70,236 and 98,802 is: 138,986.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,236 : 98,802 = 98,802 : x
  2. Step 2: Convert to fraction form
    70,236/98,802 = 98,802/x
  3. Step 3: Cross multiply
    70,236x = 98,802 × 98,802
  4. Step 4: Simplify right side
    70,236x = 9,761,835,204
  5. Step 5: Solve for x
    x = 9,761,835,204/70,236
  6. Step 6: Final answer
    x = 138,986.21

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.