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Finding the Third Proportional to 81,891 and 130,214.25

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Solution

The third proportional to 81,891 and 130,214.25 is: 207,052.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,891 : 130,214.25 = 130,214.25 : x
  2. Step 2: Convert to fraction form
    81,891/130,214.25 = 130,214.25/x
  3. Step 3: Cross multiply
    81,891x = 130,214.25 × 130,214.25
  4. Step 4: Simplify right side
    81,891x = 16,955,750,903.06
  5. Step 5: Solve for x
    x = 16,955,750,903.06/81,891
  6. Step 6: Final answer
    x = 207,052.68

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.