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Finding the Third Proportional to 155.81 and 266.91

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Solution

The third proportional to 155.81 and 266.91 is: 457.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    155.81 : 266.91 = 266.91 : x
  2. Step 2: Convert to fraction form
    155.81/266.91 = 266.91/x
  3. Step 3: Cross multiply
    155.81x = 266.91 × 266.91
  4. Step 4: Simplify right side
    155.81x = 71,238.95
  5. Step 5: Solve for x
    x = 71,238.95/155.81
  6. Step 6: Final answer
    x = 457.21

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Why These Related Problems?

These problems maintain the same ratio (1.71) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.