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Finding the Third Proportional to 269.16 and 405.98

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Solution

The third proportional to 269.16 and 405.98 is: 612.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    269.16 : 405.98 = 405.98 : x
  2. Step 2: Convert to fraction form
    269.16/405.98 = 405.98/x
  3. Step 3: Cross multiply
    269.16x = 405.98 × 405.98
  4. Step 4: Simplify right side
    269.16x = 164,823.31
  5. Step 5: Solve for x
    x = 164,823.31/269.16
  6. Step 6: Final answer
    x = 612.37

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.