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Finding the Third Proportional to 450.53 and 977.98

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Solution

The third proportional to 450.53 and 977.98 is: 2,122.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    450.53 : 977.98 = 977.98 : x
  2. Step 2: Convert to fraction form
    450.53/977.98 = 977.98/x
  3. Step 3: Cross multiply
    450.53x = 977.98 × 977.98
  4. Step 4: Simplify right side
    450.53x = 956,453.44
  5. Step 5: Solve for x
    x = 956,453.44/450.53
  6. Step 6: Final answer
    x = 2,122.95

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.