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Finding the Third Proportional to 138,292 and 297,604

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Solution

The third proportional to 138,292 and 297,604 is: 640,442.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,292 : 297,604 = 297,604 : x
  2. Step 2: Convert to fraction form
    138,292/297,604 = 297,604/x
  3. Step 3: Cross multiply
    138,292x = 297,604 × 297,604
  4. Step 4: Simplify right side
    138,292x = 88,568,140,816
  5. Step 5: Solve for x
    x = 88,568,140,816/138,292
  6. Step 6: Final answer
    x = 640,442.98

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.