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Finding the Third Proportional to 438.09 and 901.78

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Solution

The third proportional to 438.09 and 901.78 is: 1,856.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    438.09 : 901.78 = 901.78 : x
  2. Step 2: Convert to fraction form
    438.09/901.78 = 901.78/x
  3. Step 3: Cross multiply
    438.09x = 901.78 × 901.78
  4. Step 4: Simplify right side
    438.09x = 813,209.42
  5. Step 5: Solve for x
    x = 813,209.42/438.09
  6. Step 6: Final answer
    x = 1,856.25

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.