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Finding the Third Proportional to 64,276 and 138,422

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Solution

The third proportional to 64,276 and 138,422 is: 298,099.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,276 : 138,422 = 138,422 : x
  2. Step 2: Convert to fraction form
    64,276/138,422 = 138,422/x
  3. Step 3: Cross multiply
    64,276x = 138,422 × 138,422
  4. Step 4: Simplify right side
    64,276x = 19,160,650,084
  5. Step 5: Solve for x
    x = 19,160,650,084/64,276
  6. Step 6: Final answer
    x = 298,099.60

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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.