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Finding the Third Proportional to 471.56 and 730.78

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Solution

The third proportional to 471.56 and 730.78 is: 1,132.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    471.56 : 730.78 = 730.78 : x
  2. Step 2: Convert to fraction form
    471.56/730.78 = 730.78/x
  3. Step 3: Cross multiply
    471.56x = 730.78 × 730.78
  4. Step 4: Simplify right side
    471.56x = 534,041.24
  5. Step 5: Solve for x
    x = 534,041.24/471.56
  6. Step 6: Final answer
    x = 1,132.49

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.