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Finding the Third Proportional to 317,396 and 421,230

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Solution

The third proportional to 317,396 and 421,230 is: 559,032.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,396 : 421,230 = 421,230 : x
  2. Step 2: Convert to fraction form
    317,396/421,230 = 421,230/x
  3. Step 3: Cross multiply
    317,396x = 421,230 × 421,230
  4. Step 4: Simplify right side
    317,396x = 177,434,712,900
  5. Step 5: Solve for x
    x = 177,434,712,900/317,396
  6. Step 6: Final answer
    x = 559,032.61

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.