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Finding the Third Proportional to 212,854 and 284,028

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Solution

The third proportional to 212,854 and 284,028 is: 379,001.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,854 : 284,028 = 284,028 : x
  2. Step 2: Convert to fraction form
    212,854/284,028 = 284,028/x
  3. Step 3: Cross multiply
    212,854x = 284,028 × 284,028
  4. Step 4: Simplify right side
    212,854x = 80,671,904,784
  5. Step 5: Solve for x
    x = 80,671,904,784/212,854
  6. Step 6: Final answer
    x = 379,001.12

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.