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Finding the Third Proportional to 349.13 and 907.31

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Solution

The third proportional to 349.13 and 907.31 is: 2,357.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    349.13 : 907.31 = 907.31 : x
  2. Step 2: Convert to fraction form
    349.13/907.31 = 907.31/x
  3. Step 3: Cross multiply
    349.13x = 907.31 × 907.31
  4. Step 4: Simplify right side
    349.13x = 823,215.97
  5. Step 5: Solve for x
    x = 823,215.97/349.13
  6. Step 6: Final answer
    x = 2,357.94

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Why These Related Problems?

These problems maintain the same ratio (2.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.