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Finding the Third Proportional to 312.02 and 489.42

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Solution

The third proportional to 312.02 and 489.42 is: 767.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    312.02 : 489.42 = 489.42 : x
  2. Step 2: Convert to fraction form
    312.02/489.42 = 489.42/x
  3. Step 3: Cross multiply
    312.02x = 489.42 × 489.42
  4. Step 4: Simplify right side
    312.02x = 239,533.77
  5. Step 5: Solve for x
    x = 239,533.77/312.02
  6. Step 6: Final answer
    x = 767.70

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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.