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Finding the Third Proportional to 216,942 and 328,085

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Solution

The third proportional to 216,942 and 328,085 is: 496,168.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,942 : 328,085 = 328,085 : x
  2. Step 2: Convert to fraction form
    216,942/328,085 = 328,085/x
  3. Step 3: Cross multiply
    216,942x = 328,085 × 328,085
  4. Step 4: Simplify right side
    216,942x = 107,639,767,225
  5. Step 5: Solve for x
    x = 107,639,767,225/216,942
  6. Step 6: Final answer
    x = 496,168.41

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.