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Finding the Third Proportional to 239,840 and 519,424

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Solution

The third proportional to 239,840 and 519,424 is: 1,124,922.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,840 : 519,424 = 519,424 : x
  2. Step 2: Convert to fraction form
    239,840/519,424 = 519,424/x
  3. Step 3: Cross multiply
    239,840x = 519,424 × 519,424
  4. Step 4: Simplify right side
    239,840x = 269,801,291,776
  5. Step 5: Solve for x
    x = 269,801,291,776/239,840
  6. Step 6: Final answer
    x = 1,124,922.00

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.