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Finding the Third Proportional to 411.47 and 891.56

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Solution

The third proportional to 411.47 and 891.56 is: 1,931.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    411.47 : 891.56 = 891.56 : x
  2. Step 2: Convert to fraction form
    411.47/891.56 = 891.56/x
  3. Step 3: Cross multiply
    411.47x = 891.56 × 891.56
  4. Step 4: Simplify right side
    411.47x = 794,883.69
  5. Step 5: Solve for x
    x = 794,883.69/411.47
  6. Step 6: Final answer
    x = 1,931.82

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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.