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Finding the Third Proportional to 296,612 and 639,878

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Solution

The third proportional to 296,612 and 639,878 is: 1,380,402.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,612 : 639,878 = 639,878 : x
  2. Step 2: Convert to fraction form
    296,612/639,878 = 639,878/x
  3. Step 3: Cross multiply
    296,612x = 639,878 × 639,878
  4. Step 4: Simplify right side
    296,612x = 409,443,854,884
  5. Step 5: Solve for x
    x = 409,443,854,884/296,612
  6. Step 6: Final answer
    x = 1,380,402.19

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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.