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Finding the Third Proportional to 259.14 and 389.18

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Solution

The third proportional to 259.14 and 389.18 is: 584.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    259.14 : 389.18 = 389.18 : x
  2. Step 2: Convert to fraction form
    259.14/389.18 = 389.18/x
  3. Step 3: Cross multiply
    259.14x = 389.18 × 389.18
  4. Step 4: Simplify right side
    259.14x = 151,460.83
  5. Step 5: Solve for x
    x = 151,460.83/259.14
  6. Step 6: Final answer
    x = 584.48

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.