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Finding the Third Proportional to 309.59 and 470.09

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Solution

The third proportional to 309.59 and 470.09 is: 713.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    309.59 : 470.09 = 470.09 : x
  2. Step 2: Convert to fraction form
    309.59/470.09 = 470.09/x
  3. Step 3: Cross multiply
    309.59x = 470.09 × 470.09
  4. Step 4: Simplify right side
    309.59x = 220,980.79
  5. Step 5: Solve for x
    x = 220,980.79/309.59
  6. Step 6: Final answer
    x = 713.79

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.