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Finding the Third Proportional to 292,885 and 639,482

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Solution

The third proportional to 292,885 and 639,482 is: 1,396,238.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,885 : 639,482 = 639,482 : x
  2. Step 2: Convert to fraction form
    292,885/639,482 = 639,482/x
  3. Step 3: Cross multiply
    292,885x = 639,482 × 639,482
  4. Step 4: Simplify right side
    292,885x = 408,937,228,324
  5. Step 5: Solve for x
    x = 408,937,228,324/292,885
  6. Step 6: Final answer
    x = 1,396,238.21

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.