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Finding the Third Proportional to 407.88 and 581.44

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Solution

The third proportional to 407.88 and 581.44 is: 828.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    407.88 : 581.44 = 581.44 : x
  2. Step 2: Convert to fraction form
    407.88/581.44 = 581.44/x
  3. Step 3: Cross multiply
    407.88x = 581.44 × 581.44
  4. Step 4: Simplify right side
    407.88x = 338,069.57
  5. Step 5: Solve for x
    x = 338,069.57/407.88
  6. Step 6: Final answer
    x = 828.86

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.