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Finding the Third Proportional to 272.95 and 399.30

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Solution

The third proportional to 272.95 and 399.30 is: 584.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    272.95 : 399.30 = 399.30 : x
  2. Step 2: Convert to fraction form
    272.95/399.30 = 399.30/x
  3. Step 3: Cross multiply
    272.95x = 399.30 × 399.30
  4. Step 4: Simplify right side
    272.95x = 159,444.23
  5. Step 5: Solve for x
    x = 159,444.23/272.95
  6. Step 6: Final answer
    x = 584.15

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.