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Finding the Third Proportional to 259.31 and 590.06

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Solution

The third proportional to 259.31 and 590.06 is: 1,342.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    259.31 : 590.06 = 590.06 : x
  2. Step 2: Convert to fraction form
    259.31/590.06 = 590.06/x
  3. Step 3: Cross multiply
    259.31x = 590.06 × 590.06
  4. Step 4: Simplify right side
    259.31x = 348,173.75
  5. Step 5: Solve for x
    x = 348,173.75/259.31
  6. Step 6: Final answer
    x = 1,342.68

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Why These Related Problems?

These problems maintain the same ratio (2.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.