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Finding the Third Proportional to 64,275 and 138,417

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Solution

The third proportional to 64,275 and 138,417 is: 298,082.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,275 : 138,417 = 138,417 : x
  2. Step 2: Convert to fraction form
    64,275/138,417 = 138,417/x
  3. Step 3: Cross multiply
    64,275x = 138,417 × 138,417
  4. Step 4: Simplify right side
    64,275x = 19,159,265,889
  5. Step 5: Solve for x
    x = 19,159,265,889/64,275
  6. Step 6: Final answer
    x = 298,082.71

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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.