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Finding the Third Proportional to 225.28 and 345.66

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Solution

The third proportional to 225.28 and 345.66 is: 530.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    225.28 : 345.66 = 345.66 : x
  2. Step 2: Convert to fraction form
    225.28/345.66 = 345.66/x
  3. Step 3: Cross multiply
    225.28x = 345.66 × 345.66
  4. Step 4: Simplify right side
    225.28x = 119,478.24
  5. Step 5: Solve for x
    x = 119,478.24/225.28
  6. Step 6: Final answer
    x = 530.35

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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.