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Finding the Third Proportional to 312.05 and 489.47

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Solution

The third proportional to 312.05 and 489.47 is: 767.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    312.05 : 489.47 = 489.47 : x
  2. Step 2: Convert to fraction form
    312.05/489.47 = 489.47/x
  3. Step 3: Cross multiply
    312.05x = 489.47 × 489.47
  4. Step 4: Simplify right side
    312.05x = 239,579.66
  5. Step 5: Solve for x
    x = 239,579.66/312.05
  6. Step 6: Final answer
    x = 767.77

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.