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Finding the Third Proportional to 131,934 and 257,308

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Solution

The third proportional to 131,934 and 257,308 is: 501,822.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,934 : 257,308 = 257,308 : x
  2. Step 2: Convert to fraction form
    131,934/257,308 = 257,308/x
  3. Step 3: Cross multiply
    131,934x = 257,308 × 257,308
  4. Step 4: Simplify right side
    131,934x = 66,207,406,864
  5. Step 5: Solve for x
    x = 66,207,406,864/131,934
  6. Step 6: Final answer
    x = 501,822.18

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.