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Finding the Third Proportional to 296,052 and 639,396

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Solution

The third proportional to 296,052 and 639,396 is: 1,380,930.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,052 : 639,396 = 639,396 : x
  2. Step 2: Convert to fraction form
    296,052/639,396 = 639,396/x
  3. Step 3: Cross multiply
    296,052x = 639,396 × 639,396
  4. Step 4: Simplify right side
    296,052x = 408,827,244,816
  5. Step 5: Solve for x
    x = 408,827,244,816/296,052
  6. Step 6: Final answer
    x = 1,380,930.53

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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.