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Finding the Third Proportional to 471.33 and 1,024.76

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Solution

The third proportional to 471.33 and 1,024.76 is: 2,228.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    471.33 : 1,024.76 = 1,024.76 : x
  2. Step 2: Convert to fraction form
    471.33/1,024.76 = 1,024.76/x
  3. Step 3: Cross multiply
    471.33x = 1,024.76 × 1,024.76
  4. Step 4: Simplify right side
    471.33x = 1,050,128.57
  5. Step 5: Solve for x
    x = 1,050,128.57/471.33
  6. Step 6: Final answer
    x = 2,228.02

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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.