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Finding the Third Proportional to 456.10 and 989.09

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Solution

The third proportional to 456.10 and 989.09 is: 2,144.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    456.10 : 989.09 = 989.09 : x
  2. Step 2: Convert to fraction form
    456.10/989.09 = 989.09/x
  3. Step 3: Cross multiply
    456.10x = 989.09 × 989.09
  4. Step 4: Simplify right side
    456.10x = 978,290.99
  5. Step 5: Solve for x
    x = 978,290.99/456.10
  6. Step 6: Final answer
    x = 2,144.91

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1.5x scale

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.