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Finding the Third Proportional to 138,272 and 297,562

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Solution

The third proportional to 138,272 and 297,562 is: 640,354.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,272 : 297,562 = 297,562 : x
  2. Step 2: Convert to fraction form
    138,272/297,562 = 297,562/x
  3. Step 3: Cross multiply
    138,272x = 297,562 × 297,562
  4. Step 4: Simplify right side
    138,272x = 88,543,143,844
  5. Step 5: Solve for x
    x = 88,543,143,844/138,272
  6. Step 6: Final answer
    x = 640,354.84

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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.