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Finding the Third Proportional to 440,296 and 680,288

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Solution

The third proportional to 440,296 and 680,288 is: 1,051,092.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    440,296 : 680,288 = 680,288 : x
  2. Step 2: Convert to fraction form
    440,296/680,288 = 680,288/x
  3. Step 3: Cross multiply
    440,296x = 680,288 × 680,288
  4. Step 4: Simplify right side
    440,296x = 462,791,762,944
  5. Step 5: Solve for x
    x = 462,791,762,944/440,296
  6. Step 6: Final answer
    x = 1,051,092.36

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.