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Finding the Third Proportional to 291.09 and 414.98

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Solution

The third proportional to 291.09 and 414.98 is: 591.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    291.09 : 414.98 = 414.98 : x
  2. Step 2: Convert to fraction form
    291.09/414.98 = 414.98/x
  3. Step 3: Cross multiply
    291.09x = 414.98 × 414.98
  4. Step 4: Simplify right side
    291.09x = 172,212.03
  5. Step 5: Solve for x
    x = 172,212.03/291.09
  6. Step 6: Final answer
    x = 591.60

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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.