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Finding the Third Proportional to 259.03 and 643.78

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Solution

The third proportional to 259.03 and 643.78 is: 1,600.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    259.03 : 643.78 = 643.78 : x
  2. Step 2: Convert to fraction form
    259.03/643.78 = 643.78/x
  3. Step 3: Cross multiply
    259.03x = 643.78 × 643.78
  4. Step 4: Simplify right side
    259.03x = 414,454.30
  5. Step 5: Solve for x
    x = 414,454.30/259.03
  6. Step 6: Final answer
    x = 1,600.02

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Why These Related Problems?

These problems maintain the same ratio (2.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.