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Finding the Third Proportional to 67,682.50 and 99,215

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Solution

The third proportional to 67,682.50 and 99,215 is: 145,438.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,682.50 : 99,215 = 99,215 : x
  2. Step 2: Convert to fraction form
    67,682.50/99,215 = 99,215/x
  3. Step 3: Cross multiply
    67,682.50x = 99,215 × 99,215
  4. Step 4: Simplify right side
    67,682.50x = 9,843,616,225
  5. Step 5: Solve for x
    x = 9,843,616,225/67,682.50
  6. Step 6: Final answer
    x = 145,438.13

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.