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Finding the Third Proportional to 478.97 and 1,047.66

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Solution

The third proportional to 478.97 and 1,047.66 is: 2,291.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    478.97 : 1,047.66 = 1,047.66 : x
  2. Step 2: Convert to fraction form
    478.97/1,047.66 = 1,047.66/x
  3. Step 3: Cross multiply
    478.97x = 1,047.66 × 1,047.66
  4. Step 4: Simplify right side
    478.97x = 1,097,583.62
  5. Step 5: Solve for x
    x = 1,097,583.62/478.97
  6. Step 6: Final answer
    x = 2,291.56

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.