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Finding the Third Proportional to 284,292 and 612,324

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Solution

The third proportional to 284,292 and 612,324 is: 1,318,857.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,292 : 612,324 = 612,324 : x
  2. Step 2: Convert to fraction form
    284,292/612,324 = 612,324/x
  3. Step 3: Cross multiply
    284,292x = 612,324 × 612,324
  4. Step 4: Simplify right side
    284,292x = 374,940,680,976
  5. Step 5: Solve for x
    x = 374,940,680,976/284,292
  6. Step 6: Final answer
    x = 1,318,857.66

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.