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Finding the Third Proportional to 70,142 and 98,661

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Solution

The third proportional to 70,142 and 98,661 is: 138,775.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,142 : 98,661 = 98,661 : x
  2. Step 2: Convert to fraction form
    70,142/98,661 = 98,661/x
  3. Step 3: Cross multiply
    70,142x = 98,661 × 98,661
  4. Step 4: Simplify right side
    70,142x = 9,733,992,921
  5. Step 5: Solve for x
    x = 9,733,992,921/70,142
  6. Step 6: Final answer
    x = 138,775.53

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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.