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Finding the Third Proportional to 312.29 and 483.63

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Solution

The third proportional to 312.29 and 483.63 is: 748.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    312.29 : 483.63 = 483.63 : x
  2. Step 2: Convert to fraction form
    312.29/483.63 = 483.63/x
  3. Step 3: Cross multiply
    312.29x = 483.63 × 483.63
  4. Step 4: Simplify right side
    312.29x = 233,895.03
  5. Step 5: Solve for x
    x = 233,895.03/312.29
  6. Step 6: Final answer
    x = 748.96

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.