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Finding the Third Proportional to 108,252 and 224,784

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Solution

The third proportional to 108,252 and 224,784 is: 466,761.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,252 : 224,784 = 224,784 : x
  2. Step 2: Convert to fraction form
    108,252/224,784 = 224,784/x
  3. Step 3: Cross multiply
    108,252x = 224,784 × 224,784
  4. Step 4: Simplify right side
    108,252x = 50,527,846,656
  5. Step 5: Solve for x
    x = 50,527,846,656/108,252
  6. Step 6: Final answer
    x = 466,761.32

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.