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Finding the Third Proportional to 83,109 and 180,312

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Solution

The third proportional to 83,109 and 180,312 is: 391,202.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,109 : 180,312 = 180,312 : x
  2. Step 2: Convert to fraction form
    83,109/180,312 = 180,312/x
  3. Step 3: Cross multiply
    83,109x = 180,312 × 180,312
  4. Step 4: Simplify right side
    83,109x = 32,512,417,344
  5. Step 5: Solve for x
    x = 32,512,417,344/83,109
  6. Step 6: Final answer
    x = 391,202.12

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.