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Finding the Third Proportional to 83,026.05 and 132,175.34

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Solution

The third proportional to 83,026.05 and 132,175.34 is: 210,419.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,026.05 : 132,175.34 = 132,175.34 : x
  2. Step 2: Convert to fraction form
    83,026.05/132,175.34 = 132,175.34/x
  3. Step 3: Cross multiply
    83,026.05x = 132,175.34 × 132,175.34
  4. Step 4: Simplify right side
    83,026.05x = 17,470,319,430.19
  5. Step 5: Solve for x
    x = 17,470,319,430.19/83,026.05
  6. Step 6: Final answer
    x = 210,419.72

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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.