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Finding the Third Proportional to 783.11 and 901.28

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Solution

The third proportional to 783.11 and 901.28 is: 1,037.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    783.11 : 901.28 = 901.28 : x
  2. Step 2: Convert to fraction form
    783.11/901.28 = 901.28/x
  3. Step 3: Cross multiply
    783.11x = 901.28 × 901.28
  4. Step 4: Simplify right side
    783.11x = 812,311.41
  5. Step 5: Solve for x
    x = 812,311.41/783.11
  6. Step 6: Final answer
    x = 1,037.30

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Why These Related Problems?

These problems maintain the same ratio (1.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.