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Finding the Third Proportional to 602.86 and 1,222.59

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Solution

The third proportional to 602.86 and 1,222.59 is: 2,479.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    602.86 : 1,222.59 = 1,222.59 : x
  2. Step 2: Convert to fraction form
    602.86/1,222.59 = 1,222.59/x
  3. Step 3: Cross multiply
    602.86x = 1,222.59 × 1,222.59
  4. Step 4: Simplify right side
    602.86x = 1,494,735.48
  5. Step 5: Solve for x
    x = 1,494,735.48/602.86
  6. Step 6: Final answer
    x = 2,479.41

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.