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Finding the Third Proportional to 880.56 and 1,478.88

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Solution

The third proportional to 880.56 and 1,478.88 is: 2,483.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    880.56 : 1,478.88 = 1,478.88 : x
  2. Step 2: Convert to fraction form
    880.56/1,478.88 = 1,478.88/x
  3. Step 3: Cross multiply
    880.56x = 1,478.88 × 1,478.88
  4. Step 4: Simplify right side
    880.56x = 2,187,094.37
  5. Step 5: Solve for x
    x = 2,187,094.37/880.56
  6. Step 6: Final answer
    x = 2,483.76

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Why These Related Problems?

These problems maintain the same ratio (1.68) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.