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Finding the Third Proportional to 155.69 and 246.47

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Solution

The third proportional to 155.69 and 246.47 is: 390.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    155.69 : 246.47 = 246.47 : x
  2. Step 2: Convert to fraction form
    155.69/246.47 = 246.47/x
  3. Step 3: Cross multiply
    155.69x = 246.47 × 246.47
  4. Step 4: Simplify right side
    155.69x = 60,746.84
  5. Step 5: Solve for x
    x = 60,746.84/155.69
  6. Step 6: Final answer
    x = 390.18

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.