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Finding the Third Proportional to 65,394 and 138,636

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Solution

The third proportional to 65,394 and 138,636 is: 293,909.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,394 : 138,636 = 138,636 : x
  2. Step 2: Convert to fraction form
    65,394/138,636 = 138,636/x
  3. Step 3: Cross multiply
    65,394x = 138,636 × 138,636
  4. Step 4: Simplify right side
    65,394x = 19,219,940,496
  5. Step 5: Solve for x
    x = 19,219,940,496/65,394
  6. Step 6: Final answer
    x = 293,909.85

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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.