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Finding the Third Proportional to 662,449 and 993,644

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Solution

The third proportional to 662,449 and 993,644 is: 1,490,421.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    662,449 : 993,644 = 993,644 : x
  2. Step 2: Convert to fraction form
    662,449/993,644 = 993,644/x
  3. Step 3: Cross multiply
    662,449x = 993,644 × 993,644
  4. Step 4: Simplify right side
    662,449x = 987,328,398,736
  5. Step 5: Solve for x
    x = 987,328,398,736/662,449
  6. Step 6: Final answer
    x = 1,490,421.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.