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Finding the Third Proportional to 661.88 and 1,538.86

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Solution

The third proportional to 661.88 and 1,538.86 is: 3,577.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    661.88 : 1,538.86 = 1,538.86 : x
  2. Step 2: Convert to fraction form
    661.88/1,538.86 = 1,538.86/x
  3. Step 3: Cross multiply
    661.88x = 1,538.86 × 1,538.86
  4. Step 4: Simplify right side
    661.88x = 2,368,088.18
  5. Step 5: Solve for x
    x = 2,368,088.18/661.88
  6. Step 6: Final answer
    x = 3,577.85

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.