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Finding the Third Proportional to 259.72 and 560.20

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Solution

The third proportional to 259.72 and 560.20 is: 1,208.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    259.72 : 560.20 = 560.20 : x
  2. Step 2: Convert to fraction form
    259.72/560.20 = 560.20/x
  3. Step 3: Cross multiply
    259.72x = 560.20 × 560.20
  4. Step 4: Simplify right side
    259.72x = 313,820.98
  5. Step 5: Solve for x
    x = 313,820.98/259.72
  6. Step 6: Final answer
    x = 1,208.32

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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.