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Finding the Third Proportional to 421.24 and 910.83

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Solution

The third proportional to 421.24 and 910.83 is: 1,969.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    421.24 : 910.83 = 910.83 : x
  2. Step 2: Convert to fraction form
    421.24/910.83 = 910.83/x
  3. Step 3: Cross multiply
    421.24x = 910.83 × 910.83
  4. Step 4: Simplify right side
    421.24x = 829,607.87
  5. Step 5: Solve for x
    x = 829,607.87/421.24
  6. Step 6: Final answer
    x = 1,969.43

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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.