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Finding the Third Proportional to 239,171 and 503,128

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Solution

The third proportional to 239,171 and 503,128 is: 1,058,396.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,171 : 503,128 = 503,128 : x
  2. Step 2: Convert to fraction form
    239,171/503,128 = 503,128/x
  3. Step 3: Cross multiply
    239,171x = 503,128 × 503,128
  4. Step 4: Simplify right side
    239,171x = 253,137,784,384
  5. Step 5: Solve for x
    x = 253,137,784,384/239,171
  6. Step 6: Final answer
    x = 1,058,396.65

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.