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Finding the Third Proportional to 921.94 and 1,277.72

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Solution

The third proportional to 921.94 and 1,277.72 is: 1,770.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    921.94 : 1,277.72 = 1,277.72 : x
  2. Step 2: Convert to fraction form
    921.94/1,277.72 = 1,277.72/x
  3. Step 3: Cross multiply
    921.94x = 1,277.72 × 1,277.72
  4. Step 4: Simplify right side
    921.94x = 1,632,565.20
  5. Step 5: Solve for x
    x = 1,632,565.20/921.94
  6. Step 6: Final answer
    x = 1,770.80

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.