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Finding the Third Proportional to 296,301 and 638,934

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Solution

The third proportional to 296,301 and 638,934 is: 1,377,776.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,301 : 638,934 = 638,934 : x
  2. Step 2: Convert to fraction form
    296,301/638,934 = 638,934/x
  3. Step 3: Cross multiply
    296,301x = 638,934 × 638,934
  4. Step 4: Simplify right side
    296,301x = 408,236,656,356
  5. Step 5: Solve for x
    x = 408,236,656,356/296,301
  6. Step 6: Final answer
    x = 1,377,776.84

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.