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Finding the Third Proportional to 212,662 and 288,942

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Solution

The third proportional to 212,662 and 288,942 is: 392,582.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,662 : 288,942 = 288,942 : x
  2. Step 2: Convert to fraction form
    212,662/288,942 = 288,942/x
  3. Step 3: Cross multiply
    212,662x = 288,942 × 288,942
  4. Step 4: Simplify right side
    212,662x = 83,487,479,364
  5. Step 5: Solve for x
    x = 83,487,479,364/212,662
  6. Step 6: Final answer
    x = 392,582.97

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.