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Finding the Third Proportional to 388.86 and 602.12

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Solution

The third proportional to 388.86 and 602.12 is: 932.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    388.86 : 602.12 = 602.12 : x
  2. Step 2: Convert to fraction form
    388.86/602.12 = 602.12/x
  3. Step 3: Cross multiply
    388.86x = 602.12 × 602.12
  4. Step 4: Simplify right side
    388.86x = 362,549.81
  5. Step 5: Solve for x
    x = 362,549.81/388.86
  6. Step 6: Final answer
    x = 932.33

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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.