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Finding the Third Proportional to 295,970 and 639,231

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Solution

The third proportional to 295,970 and 639,231 is: 1,380,600.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,970 : 639,231 = 639,231 : x
  2. Step 2: Convert to fraction form
    295,970/639,231 = 639,231/x
  3. Step 3: Cross multiply
    295,970x = 639,231 × 639,231
  4. Step 4: Simplify right side
    295,970x = 408,616,271,361
  5. Step 5: Solve for x
    x = 408,616,271,361/295,970
  6. Step 6: Final answer
    x = 1,380,600.30

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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.