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Finding the Third Proportional to 312.84 and 437.53

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Solution

The third proportional to 312.84 and 437.53 is: 611.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    312.84 : 437.53 = 437.53 : x
  2. Step 2: Convert to fraction form
    312.84/437.53 = 437.53/x
  3. Step 3: Cross multiply
    312.84x = 437.53 × 437.53
  4. Step 4: Simplify right side
    312.84x = 191,433.59
  5. Step 5: Solve for x
    x = 191,433.59/312.84
  6. Step 6: Final answer
    x = 611.91

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.