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Finding the Third Proportional to 221.50 and 392.50

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Solution

The third proportional to 221.50 and 392.50 is: 695.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    221.50 : 392.50 = 392.50 : x
  2. Step 2: Convert to fraction form
    221.50/392.50 = 392.50/x
  3. Step 3: Cross multiply
    221.50x = 392.50 × 392.50
  4. Step 4: Simplify right side
    221.50x = 154,056.25
  5. Step 5: Solve for x
    x = 154,056.25/221.50
  6. Step 6: Final answer
    x = 695.51

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Why These Related Problems?

These problems maintain the same ratio (1.77) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.