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Finding the Third Proportional to 309,638 and 632,396

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Solution

The third proportional to 309,638 and 632,396 is: 1,291,587.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,638 : 632,396 = 632,396 : x
  2. Step 2: Convert to fraction form
    309,638/632,396 = 632,396/x
  3. Step 3: Cross multiply
    309,638x = 632,396 × 632,396
  4. Step 4: Simplify right side
    309,638x = 399,924,700,816
  5. Step 5: Solve for x
    x = 399,924,700,816/309,638
  6. Step 6: Final answer
    x = 1,291,587.92

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.