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Finding the Third Proportional to 450.14 and 1,056.80

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Solution

The third proportional to 450.14 and 1,056.80 is: 2,481.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    450.14 : 1,056.80 = 1,056.80 : x
  2. Step 2: Convert to fraction form
    450.14/1,056.80 = 1,056.80/x
  3. Step 3: Cross multiply
    450.14x = 1,056.80 × 1,056.80
  4. Step 4: Simplify right side
    450.14x = 1,116,819.64
  5. Step 5: Solve for x
    x = 1,116,819.64/450.14
  6. Step 6: Final answer
    x = 2,481.05

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.