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Finding the Third Proportional to 909.83 and 1,954.20

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Solution

The third proportional to 909.83 and 1,954.20 is: 4,197.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    909.83 : 1,954.20 = 1,954.20 : x
  2. Step 2: Convert to fraction form
    909.83/1,954.20 = 1,954.20/x
  3. Step 3: Cross multiply
    909.83x = 1,954.20 × 1,954.20
  4. Step 4: Simplify right side
    909.83x = 3,818,913.67
  5. Step 5: Solve for x
    x = 3,818,913.67/909.83
  6. Step 6: Final answer
    x = 4,197.41

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.