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Finding the Third Proportional to 162.50 and 210.81

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Solution

The third proportional to 162.50 and 210.81 is: 273.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    162.50 : 210.81 = 210.81 : x
  2. Step 2: Convert to fraction form
    162.50/210.81 = 210.81/x
  3. Step 3: Cross multiply
    162.50x = 210.81 × 210.81
  4. Step 4: Simplify right side
    162.50x = 44,441.91
  5. Step 5: Solve for x
    x = 44,441.91/162.50
  6. Step 6: Final answer
    x = 273.49

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Why These Related Problems?

These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.