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Finding the Third Proportional to 292,763 and 639,076

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Solution

The third proportional to 292,763 and 639,076 is: 1,395,046.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,763 : 639,076 = 639,076 : x
  2. Step 2: Convert to fraction form
    292,763/639,076 = 639,076/x
  3. Step 3: Cross multiply
    292,763x = 639,076 × 639,076
  4. Step 4: Simplify right side
    292,763x = 408,418,133,776
  5. Step 5: Solve for x
    x = 408,418,133,776/292,763
  6. Step 6: Final answer
    x = 1,395,046.96

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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.