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Finding the Third Proportional to 902.53 and 1,977.40

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Solution

The third proportional to 902.53 and 1,977.40 is: 4,332.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    902.53 : 1,977.40 = 1,977.40 : x
  2. Step 2: Convert to fraction form
    902.53/1,977.40 = 1,977.40/x
  3. Step 3: Cross multiply
    902.53x = 1,977.40 × 1,977.40
  4. Step 4: Simplify right side
    902.53x = 3,910,104.58
  5. Step 5: Solve for x
    x = 3,910,104.58/902.53
  6. Step 6: Final answer
    x = 4,332.38

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.