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Finding the Third Proportional to 216,297 and 289,330

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Solution

The third proportional to 216,297 and 289,330 is: 387,022.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,297 : 289,330 = 289,330 : x
  2. Step 2: Convert to fraction form
    216,297/289,330 = 289,330/x
  3. Step 3: Cross multiply
    216,297x = 289,330 × 289,330
  4. Step 4: Simplify right side
    216,297x = 83,711,848,900
  5. Step 5: Solve for x
    x = 83,711,848,900/216,297
  6. Step 6: Final answer
    x = 387,022.70

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.