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Finding the Third Proportional to 218,728 and 287,208

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Solution

The third proportional to 218,728 and 287,208 is: 377,127.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,728 : 287,208 = 287,208 : x
  2. Step 2: Convert to fraction form
    218,728/287,208 = 287,208/x
  3. Step 3: Cross multiply
    218,728x = 287,208 × 287,208
  4. Step 4: Simplify right side
    218,728x = 82,488,435,264
  5. Step 5: Solve for x
    x = 82,488,435,264/218,728
  6. Step 6: Final answer
    x = 377,127.92

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.