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Finding the Third Proportional to 470.78 and 718.41

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Solution

The third proportional to 470.78 and 718.41 is: 1,096.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    470.78 : 718.41 = 718.41 : x
  2. Step 2: Convert to fraction form
    470.78/718.41 = 718.41/x
  3. Step 3: Cross multiply
    470.78x = 718.41 × 718.41
  4. Step 4: Simplify right side
    470.78x = 516,107.54
  5. Step 5: Solve for x
    x = 516,107.54/470.78
  6. Step 6: Final answer
    x = 1,096.28

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.