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Finding the Third Proportional to 84,782 and 131,070

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Solution

The third proportional to 84,782 and 131,070 is: 202,629.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,782 : 131,070 = 131,070 : x
  2. Step 2: Convert to fraction form
    84,782/131,070 = 131,070/x
  3. Step 3: Cross multiply
    84,782x = 131,070 × 131,070
  4. Step 4: Simplify right side
    84,782x = 17,179,344,900
  5. Step 5: Solve for x
    x = 17,179,344,900/84,782
  6. Step 6: Final answer
    x = 202,629.63

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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.