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Finding the Third Proportional to 489.13 and 670.69

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Solution

The third proportional to 489.13 and 670.69 is: 919.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    489.13 : 670.69 = 670.69 : x
  2. Step 2: Convert to fraction form
    489.13/670.69 = 670.69/x
  3. Step 3: Cross multiply
    489.13x = 670.69 × 670.69
  4. Step 4: Simplify right side
    489.13x = 449,821.72
  5. Step 5: Solve for x
    x = 449,821.72/489.13
  6. Step 6: Final answer
    x = 919.65

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.