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Finding the Third Proportional to 644.99 and 1,392.50

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Solution

The third proportional to 644.99 and 1,392.50 is: 3,006.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    644.99 : 1,392.50 = 1,392.50 : x
  2. Step 2: Convert to fraction form
    644.99/1,392.50 = 1,392.50/x
  3. Step 3: Cross multiply
    644.99x = 1,392.50 × 1,392.50
  4. Step 4: Simplify right side
    644.99x = 1,939,067.13
  5. Step 5: Solve for x
    x = 1,939,067.13/644.99
  6. Step 6: Final answer
    x = 3,006.33

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.