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Finding the Third Proportional to 259.17 and 551.67

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Solution

The third proportional to 259.17 and 551.67 is: 1,174.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    259.17 : 551.67 = 551.67 : x
  2. Step 2: Convert to fraction form
    259.17/551.67 = 551.67/x
  3. Step 3: Cross multiply
    259.17x = 551.67 × 551.67
  4. Step 4: Simplify right side
    259.17x = 304,341.86
  5. Step 5: Solve for x
    x = 304,341.86/259.17
  6. Step 6: Final answer
    x = 1,174.29

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.