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Finding the Third Proportional to 236,864 and 307,304

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Solution

The third proportional to 236,864 and 307,304 is: 398,691.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,864 : 307,304 = 307,304 : x
  2. Step 2: Convert to fraction form
    236,864/307,304 = 307,304/x
  3. Step 3: Cross multiply
    236,864x = 307,304 × 307,304
  4. Step 4: Simplify right side
    236,864x = 94,435,748,416
  5. Step 5: Solve for x
    x = 94,435,748,416/236,864
  6. Step 6: Final answer
    x = 398,691.86

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Why These Related Problems?

These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.