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Finding the Third Proportional to 934.77 and 1,451.53

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Solution

The third proportional to 934.77 and 1,451.53 is: 2,253.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    934.77 : 1,451.53 = 1,451.53 : x
  2. Step 2: Convert to fraction form
    934.77/1,451.53 = 1,451.53/x
  3. Step 3: Cross multiply
    934.77x = 1,451.53 × 1,451.53
  4. Step 4: Simplify right side
    934.77x = 2,106,942.97
  5. Step 5: Solve for x
    x = 2,106,942.97/934.77
  6. Step 6: Final answer
    x = 2,253.98

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.