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Finding the Third Proportional to 487.69 and 922.22

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Solution

The third proportional to 487.69 and 922.22 is: 1,743.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    487.69 : 922.22 = 922.22 : x
  2. Step 2: Convert to fraction form
    487.69/922.22 = 922.22/x
  3. Step 3: Cross multiply
    487.69x = 922.22 × 922.22
  4. Step 4: Simplify right side
    487.69x = 850,487.42
  5. Step 5: Solve for x
    x = 850,487.42/487.69
  6. Step 6: Final answer
    x = 1,743.92

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Why These Related Problems?

These problems maintain the same ratio (1.89) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.