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Finding the Third Proportional to 292,882 and 639,476

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Solution

The third proportional to 292,882 and 639,476 is: 1,396,226.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,882 : 639,476 = 639,476 : x
  2. Step 2: Convert to fraction form
    292,882/639,476 = 639,476/x
  3. Step 3: Cross multiply
    292,882x = 639,476 × 639,476
  4. Step 4: Simplify right side
    292,882x = 408,929,554,576
  5. Step 5: Solve for x
    x = 408,929,554,576/292,882
  6. Step 6: Final answer
    x = 1,396,226.31

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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.