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Finding the Third Proportional to 296,582 and 639,818

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Solution

The third proportional to 296,582 and 639,818 is: 1,380,282.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,582 : 639,818 = 639,818 : x
  2. Step 2: Convert to fraction form
    296,582/639,818 = 639,818/x
  3. Step 3: Cross multiply
    296,582x = 639,818 × 639,818
  4. Step 4: Simplify right side
    296,582x = 409,367,073,124
  5. Step 5: Solve for x
    x = 409,367,073,124/296,582
  6. Step 6: Final answer
    x = 1,380,282.93

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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.