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Finding the Third Proportional to 65,390 and 138,627

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Solution

The third proportional to 65,390 and 138,627 is: 293,889.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,390 : 138,627 = 138,627 : x
  2. Step 2: Convert to fraction form
    65,390/138,627 = 138,627/x
  3. Step 3: Cross multiply
    65,390x = 138,627 × 138,627
  4. Step 4: Simplify right side
    65,390x = 19,217,445,129
  5. Step 5: Solve for x
    x = 19,217,445,129/65,390
  6. Step 6: Final answer
    x = 293,889.66

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.