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Finding the Third Proportional to 138,294 and 297,608

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Solution

The third proportional to 138,294 and 297,608 is: 640,450.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,294 : 297,608 = 297,608 : x
  2. Step 2: Convert to fraction form
    138,294/297,608 = 297,608/x
  3. Step 3: Cross multiply
    138,294x = 297,608 × 297,608
  4. Step 4: Simplify right side
    138,294x = 88,570,521,664
  5. Step 5: Solve for x
    x = 88,570,521,664/138,294
  6. Step 6: Final answer
    x = 640,450.94

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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.