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Finding the Third Proportional to 639,744 and 921,600

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Solution

The third proportional to 639,744 and 921,600 is: 1,327,635.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    639,744 : 921,600 = 921,600 : x
  2. Step 2: Convert to fraction form
    639,744/921,600 = 921,600/x
  3. Step 3: Cross multiply
    639,744x = 921,600 × 921,600
  4. Step 4: Simplify right side
    639,744x = 849,346,560,000
  5. Step 5: Solve for x
    x = 849,346,560,000/639,744
  6. Step 6: Final answer
    x = 1,327,635.05

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.