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Finding the Third Proportional to 2,101.57 and 3,151.64

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Solution

The third proportional to 2,101.57 and 3,151.64 is: 4,726.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,101.57 : 3,151.64 = 3,151.64 : x
  2. Step 2: Convert to fraction form
    2,101.57/3,151.64 = 3,151.64/x
  3. Step 3: Cross multiply
    2,101.57x = 3,151.64 × 3,151.64
  4. Step 4: Simplify right side
    2,101.57x = 9,932,857.10
  5. Step 5: Solve for x
    x = 9,932,857.10/2,101.57
  6. Step 6: Final answer
    x = 4,726.40

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.