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Finding the Third Proportional to 653.91 and 900.42

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Solution

The third proportional to 653.91 and 900.42 is: 1,239.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    653.91 : 900.42 = 900.42 : x
  2. Step 2: Convert to fraction form
    653.91/900.42 = 900.42/x
  3. Step 3: Cross multiply
    653.91x = 900.42 × 900.42
  4. Step 4: Simplify right side
    653.91x = 810,759.55
  5. Step 5: Solve for x
    x = 810,759.55/653.91
  6. Step 6: Final answer
    x = 1,239.87

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.