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Finding the Third Proportional to 449.09 and 977.27

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Solution

The third proportional to 449.09 and 977.27 is: 2,126.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    449.09 : 977.27 = 977.27 : x
  2. Step 2: Convert to fraction form
    449.09/977.27 = 977.27/x
  3. Step 3: Cross multiply
    449.09x = 977.27 × 977.27
  4. Step 4: Simplify right side
    449.09x = 955,063.37
  5. Step 5: Solve for x
    x = 955,063.37/449.09
  6. Step 6: Final answer
    x = 2,126.68

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.