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Finding the Third Proportional to 900.81 and 1,949.70

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Solution

The third proportional to 900.81 and 1,949.70 is: 4,219.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    900.81 : 1,949.70 = 1,949.70 : x
  2. Step 2: Convert to fraction form
    900.81/1,949.70 = 1,949.70/x
  3. Step 3: Cross multiply
    900.81x = 1,949.70 × 1,949.70
  4. Step 4: Simplify right side
    900.81x = 3,801,311.81
  5. Step 5: Solve for x
    x = 3,801,311.81/900.81
  6. Step 6: Final answer
    x = 4,219.89

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.