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Finding the Third Proportional to 440,116 and 664,386

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Solution

The third proportional to 440,116 and 664,386 is: 1,002,937.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    440,116 : 664,386 = 664,386 : x
  2. Step 2: Convert to fraction form
    440,116/664,386 = 664,386/x
  3. Step 3: Cross multiply
    440,116x = 664,386 × 664,386
  4. Step 4: Simplify right side
    440,116x = 441,408,756,996
  5. Step 5: Solve for x
    x = 441,408,756,996/440,116
  6. Step 6: Final answer
    x = 1,002,937.31

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.