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Finding the Third Proportional to 240.31 and 368.40

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Solution

The third proportional to 240.31 and 368.40 is: 564.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    240.31 : 368.40 = 368.40 : x
  2. Step 2: Convert to fraction form
    240.31/368.40 = 368.40/x
  3. Step 3: Cross multiply
    240.31x = 368.40 × 368.40
  4. Step 4: Simplify right side
    240.31x = 135,720.29
  5. Step 5: Solve for x
    x = 135,720.29/240.31
  6. Step 6: Final answer
    x = 564.77

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.