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Finding the Third Proportional to 134,632 and 211,215

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Solution

The third proportional to 134,632 and 211,215 is: 331,360.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,632 : 211,215 = 211,215 : x
  2. Step 2: Convert to fraction form
    134,632/211,215 = 211,215/x
  3. Step 3: Cross multiply
    134,632x = 211,215 × 211,215
  4. Step 4: Simplify right side
    134,632x = 44,611,776,225
  5. Step 5: Solve for x
    x = 44,611,776,225/134,632
  6. Step 6: Final answer
    x = 331,360.87

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.