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Finding the Third Proportional to 412.17 and 577.55

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Solution

The third proportional to 412.17 and 577.55 is: 809.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    412.17 : 577.55 = 577.55 : x
  2. Step 2: Convert to fraction form
    412.17/577.55 = 577.55/x
  3. Step 3: Cross multiply
    412.17x = 577.55 × 577.55
  4. Step 4: Simplify right side
    412.17x = 333,560.39
  5. Step 5: Solve for x
    x = 333,560.39/412.17
  6. Step 6: Final answer
    x = 809.27

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.