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Finding the Third Proportional to 150,639 and 321,294

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Solution

The third proportional to 150,639 and 321,294 is: 685,279.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,639 : 321,294 = 321,294 : x
  2. Step 2: Convert to fraction form
    150,639/321,294 = 321,294/x
  3. Step 3: Cross multiply
    150,639x = 321,294 × 321,294
  4. Step 4: Simplify right side
    150,639x = 103,229,834,436
  5. Step 5: Solve for x
    x = 103,229,834,436/150,639
  6. Step 6: Final answer
    x = 685,279.61

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.