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Finding the Third Proportional to 64,275 and 138,418

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Solution

The third proportional to 64,275 and 138,418 is: 298,087.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,275 : 138,418 = 138,418 : x
  2. Step 2: Convert to fraction form
    64,275/138,418 = 138,418/x
  3. Step 3: Cross multiply
    64,275x = 138,418 × 138,418
  4. Step 4: Simplify right side
    64,275x = 19,159,542,724
  5. Step 5: Solve for x
    x = 19,159,542,724/64,275
  6. Step 6: Final answer
    x = 298,087.01

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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.