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Finding the Third Proportional to 154.50 and 210.50

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Solution

The third proportional to 154.50 and 210.50 is: 286.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    154.50 : 210.50 = 210.50 : x
  2. Step 2: Convert to fraction form
    154.50/210.50 = 210.50/x
  3. Step 3: Cross multiply
    154.50x = 210.50 × 210.50
  4. Step 4: Simplify right side
    154.50x = 44,310.25
  5. Step 5: Solve for x
    x = 44,310.25/154.50
  6. Step 6: Final answer
    x = 286.80

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.