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Finding the Third Proportional to 431.16 and 929.39

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Solution

The third proportional to 431.16 and 929.39 is: 2,003.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    431.16 : 929.39 = 929.39 : x
  2. Step 2: Convert to fraction form
    431.16/929.39 = 929.39/x
  3. Step 3: Cross multiply
    431.16x = 929.39 × 929.39
  4. Step 4: Simplify right side
    431.16x = 863,766.93
  5. Step 5: Solve for x
    x = 863,766.93/431.16
  6. Step 6: Final answer
    x = 2,003.37

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.