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Finding the Third Proportional to 292,912 and 639,536

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Solution

The third proportional to 292,912 and 639,536 is: 1,396,345.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,912 : 639,536 = 639,536 : x
  2. Step 2: Convert to fraction form
    292,912/639,536 = 639,536/x
  3. Step 3: Cross multiply
    292,912x = 639,536 × 639,536
  4. Step 4: Simplify right side
    292,912x = 409,006,295,296
  5. Step 5: Solve for x
    x = 409,006,295,296/292,912
  6. Step 6: Final answer
    x = 1,396,345.30

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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.