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Finding the Third Proportional to 309.15 and 470.13

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Solution

The third proportional to 309.15 and 470.13 is: 714.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    309.15 : 470.13 = 470.13 : x
  2. Step 2: Convert to fraction form
    309.15/470.13 = 470.13/x
  3. Step 3: Cross multiply
    309.15x = 470.13 × 470.13
  4. Step 4: Simplify right side
    309.15x = 221,022.45
  5. Step 5: Solve for x
    x = 221,022.45/309.15
  6. Step 6: Final answer
    x = 714.94

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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.