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Finding the Third Proportional to 906.88 and 1,403.38

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Solution

The third proportional to 906.88 and 1,403.38 is: 2,171.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    906.88 : 1,403.38 = 1,403.38 : x
  2. Step 2: Convert to fraction form
    906.88/1,403.38 = 1,403.38/x
  3. Step 3: Cross multiply
    906.88x = 1,403.38 × 1,403.38
  4. Step 4: Simplify right side
    906.88x = 1,969,461.39
  5. Step 5: Solve for x
    x = 1,969,461.39/906.88
  6. Step 6: Final answer
    x = 2,171.70

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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.