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Finding the Third Proportional to 405.38 and 901.69

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Solution

The third proportional to 405.38 and 901.69 is: 2,005.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    405.38 : 901.69 = 901.69 : x
  2. Step 2: Convert to fraction form
    405.38/901.69 = 901.69/x
  3. Step 3: Cross multiply
    405.38x = 901.69 × 901.69
  4. Step 4: Simplify right side
    405.38x = 813,040.35
  5. Step 5: Solve for x
    x = 813,040.35/405.38
  6. Step 6: Final answer
    x = 2,005.65

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.