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Finding the Third Proportional to 232 and 316

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Solution

The third proportional to 232 and 316 is: 430.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    232 : 316 = 316 : x
  2. Step 2: Convert to fraction form
    232/316 = 316/x
  3. Step 3: Cross multiply
    232x = 316 × 316
  4. Step 4: Simplify right side
    232x = 99,856
  5. Step 5: Solve for x
    x = 99,856/232
  6. Step 6: Final answer
    x = 430.41

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.