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Finding the Third Proportional to 266.81 and 405.70

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Solution

The third proportional to 266.81 and 405.70 is: 616.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    266.81 : 405.70 = 405.70 : x
  2. Step 2: Convert to fraction form
    266.81/405.70 = 405.70/x
  3. Step 3: Cross multiply
    266.81x = 405.70 × 405.70
  4. Step 4: Simplify right side
    266.81x = 164,595.03
  5. Step 5: Solve for x
    x = 164,595.03/266.81
  6. Step 6: Final answer
    x = 616.89

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.