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Finding the Third Proportional to 242.86 and 386.23

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Solution

The third proportional to 242.86 and 386.23 is: 614.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    242.86 : 386.23 = 386.23 : x
  2. Step 2: Convert to fraction form
    242.86/386.23 = 386.23/x
  3. Step 3: Cross multiply
    242.86x = 386.23 × 386.23
  4. Step 4: Simplify right side
    242.86x = 149,170.96
  5. Step 5: Solve for x
    x = 149,170.96/242.86
  6. Step 6: Final answer
    x = 614.23

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.