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Finding the Third Proportional to 80,300 and 170,239

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Solution

The third proportional to 80,300 and 170,239 is: 360,913.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,300 : 170,239 = 170,239 : x
  2. Step 2: Convert to fraction form
    80,300/170,239 = 170,239/x
  3. Step 3: Cross multiply
    80,300x = 170,239 × 170,239
  4. Step 4: Simplify right side
    80,300x = 28,981,317,121
  5. Step 5: Solve for x
    x = 28,981,317,121/80,300
  6. Step 6: Final answer
    x = 360,913.04

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.