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Finding the Third Proportional to 65,934 and 138,348

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Solution

The third proportional to 65,934 and 138,348 is: 290,292.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,934 : 138,348 = 138,348 : x
  2. Step 2: Convert to fraction form
    65,934/138,348 = 138,348/x
  3. Step 3: Cross multiply
    65,934x = 138,348 × 138,348
  4. Step 4: Simplify right side
    65,934x = 19,140,169,104
  5. Step 5: Solve for x
    x = 19,140,169,104/65,934
  6. Step 6: Final answer
    x = 290,292.86

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.