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Finding the Third Proportional to 65,392 and 138,631

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Solution

The third proportional to 65,392 and 138,631 is: 293,897.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,392 : 138,631 = 138,631 : x
  2. Step 2: Convert to fraction form
    65,392/138,631 = 138,631/x
  3. Step 3: Cross multiply
    65,392x = 138,631 × 138,631
  4. Step 4: Simplify right side
    65,392x = 19,218,554,161
  5. Step 5: Solve for x
    x = 19,218,554,161/65,392
  6. Step 6: Final answer
    x = 293,897.64

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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.