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Finding the Third Proportional to 621.42 and 1,087.80

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Solution

The third proportional to 621.42 and 1,087.80 is: 1,904.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    621.42 : 1,087.80 = 1,087.80 : x
  2. Step 2: Convert to fraction form
    621.42/1,087.80 = 1,087.80/x
  3. Step 3: Cross multiply
    621.42x = 1,087.80 × 1,087.80
  4. Step 4: Simplify right side
    621.42x = 1,183,319.04
  5. Step 5: Solve for x
    x = 1,183,319.04/621.42
  6. Step 6: Final answer
    x = 1,904.21

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Why These Related Problems?

These problems maintain the same ratio (1.75) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.