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Finding the Third Proportional to 238,731 and 519,453

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Solution

The third proportional to 238,731 and 519,453 is: 1,130,273.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,731 : 519,453 = 519,453 : x
  2. Step 2: Convert to fraction form
    238,731/519,453 = 519,453/x
  3. Step 3: Cross multiply
    238,731x = 519,453 × 519,453
  4. Step 4: Simplify right side
    238,731x = 269,831,419,209
  5. Step 5: Solve for x
    x = 269,831,419,209/238,731
  6. Step 6: Final answer
    x = 1,130,273.90

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.