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Finding the Third Proportional to 137,823 and 284,502

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Solution

The third proportional to 137,823 and 284,502 is: 587,285.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,823 : 284,502 = 284,502 : x
  2. Step 2: Convert to fraction form
    137,823/284,502 = 284,502/x
  3. Step 3: Cross multiply
    137,823x = 284,502 × 284,502
  4. Step 4: Simplify right side
    137,823x = 80,941,388,004
  5. Step 5: Solve for x
    x = 80,941,388,004/137,823
  6. Step 6: Final answer
    x = 587,285.05

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.