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Finding the Third Proportional to 880.03 and 1,306.55

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Solution

The third proportional to 880.03 and 1,306.55 is: 1,939.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    880.03 : 1,306.55 = 1,306.55 : x
  2. Step 2: Convert to fraction form
    880.03/1,306.55 = 1,306.55/x
  3. Step 3: Cross multiply
    880.03x = 1,306.55 × 1,306.55
  4. Step 4: Simplify right side
    880.03x = 1,707,064.74
  5. Step 5: Solve for x
    x = 1,707,064.74/880.03
  6. Step 6: Final answer
    x = 1,939.78

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.