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Finding the Third Proportional to 138,774 and 295,287

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Solution

The third proportional to 138,774 and 295,287 is: 628,319.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,774 : 295,287 = 295,287 : x
  2. Step 2: Convert to fraction form
    138,774/295,287 = 295,287/x
  3. Step 3: Cross multiply
    138,774x = 295,287 × 295,287
  4. Step 4: Simplify right side
    138,774x = 87,194,412,369
  5. Step 5: Solve for x
    x = 87,194,412,369/138,774
  6. Step 6: Final answer
    x = 628,319.51

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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.