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Finding the Third Proportional to 138,074 and 297,276

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Solution

The third proportional to 138,074 and 297,276 is: 640,040.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,074 : 297,276 = 297,276 : x
  2. Step 2: Convert to fraction form
    138,074/297,276 = 297,276/x
  3. Step 3: Cross multiply
    138,074x = 297,276 × 297,276
  4. Step 4: Simplify right side
    138,074x = 88,373,020,176
  5. Step 5: Solve for x
    x = 88,373,020,176/138,074
  6. Step 6: Final answer
    x = 640,040.99

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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.