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Finding the Third Proportional to 80,031.38 and 115,916.06

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Solution

The third proportional to 80,031.38 and 115,916.06 is: 167,890.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,031.38 : 115,916.06 = 115,916.06 : x
  2. Step 2: Convert to fraction form
    80,031.38/115,916.06 = 115,916.06/x
  3. Step 3: Cross multiply
    80,031.38x = 115,916.06 × 115,916.06
  4. Step 4: Simplify right side
    80,031.38x = 13,436,533,545.50
  5. Step 5: Solve for x
    x = 13,436,533,545.50/80,031.38
  6. Step 6: Final answer
    x = 167,890.82

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.