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Finding the Third Proportional to 449.35 and 977.80

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Solution

The third proportional to 449.35 and 977.80 is: 2,127.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    449.35 : 977.80 = 977.80 : x
  2. Step 2: Convert to fraction form
    449.35/977.80 = 977.80/x
  3. Step 3: Cross multiply
    449.35x = 977.80 × 977.80
  4. Step 4: Simplify right side
    449.35x = 956,094.37
  5. Step 5: Solve for x
    x = 956,094.37/449.35
  6. Step 6: Final answer
    x = 2,127.73

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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.