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Finding the Third Proportional to 644.99 and 1,003.80

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Solution

The third proportional to 644.99 and 1,003.80 is: 1,562.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    644.99 : 1,003.80 = 1,003.80 : x
  2. Step 2: Convert to fraction form
    644.99/1,003.80 = 1,003.80/x
  3. Step 3: Cross multiply
    644.99x = 1,003.80 × 1,003.80
  4. Step 4: Simplify right side
    644.99x = 1,007,612.09
  5. Step 5: Solve for x
    x = 1,007,612.09/644.99
  6. Step 6: Final answer
    x = 1,562.20

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.