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Finding the Third Proportional to 83,031.19 and 132,182.72

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Solution

The third proportional to 83,031.19 and 132,182.72 is: 210,430.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,031.19 : 132,182.72 = 132,182.72 : x
  2. Step 2: Convert to fraction form
    83,031.19/132,182.72 = 132,182.72/x
  3. Step 3: Cross multiply
    83,031.19x = 132,182.72 × 132,182.72
  4. Step 4: Simplify right side
    83,031.19x = 17,472,271,136.14
  5. Step 5: Solve for x
    x = 17,472,271,136.14/83,031.19
  6. Step 6: Final answer
    x = 210,430.22

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