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Finding the Third Proportional to 259.14 and 401.99

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Solution

The third proportional to 259.14 and 401.99 is: 623.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    259.14 : 401.99 = 401.99 : x
  2. Step 2: Convert to fraction form
    259.14/401.99 = 401.99/x
  3. Step 3: Cross multiply
    259.14x = 401.99 × 401.99
  4. Step 4: Simplify right side
    259.14x = 161,599.29
  5. Step 5: Solve for x
    x = 161,599.29/259.14
  6. Step 6: Final answer
    x = 623.61

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.