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Finding the Third Proportional to 86,469 and 130,854.75

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Solution

The third proportional to 86,469 and 130,854.75 is: 198,024.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,469 : 130,854.75 = 130,854.75 : x
  2. Step 2: Convert to fraction form
    86,469/130,854.75 = 130,854.75/x
  3. Step 3: Cross multiply
    86,469x = 130,854.75 × 130,854.75
  4. Step 4: Simplify right side
    86,469x = 17,122,965,597.56
  5. Step 5: Solve for x
    x = 17,122,965,597.56/86,469
  6. Step 6: Final answer
    x = 198,024.33

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.