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Finding the Third Proportional to 478.13 and 708.28

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Solution

The third proportional to 478.13 and 708.28 is: 1,049.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    478.13 : 708.28 = 708.28 : x
  2. Step 2: Convert to fraction form
    478.13/708.28 = 708.28/x
  3. Step 3: Cross multiply
    478.13x = 708.28 × 708.28
  4. Step 4: Simplify right side
    478.13x = 501,662.33
  5. Step 5: Solve for x
    x = 501,662.33/478.13
  6. Step 6: Final answer
    x = 1,049.23

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.