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Finding the Third Proportional to 62,325 and 133,506

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Solution

The third proportional to 62,325 and 133,506 is: 285,982.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,325 : 133,506 = 133,506 : x
  2. Step 2: Convert to fraction form
    62,325/133,506 = 133,506/x
  3. Step 3: Cross multiply
    62,325x = 133,506 × 133,506
  4. Step 4: Simplify right side
    62,325x = 17,823,852,036
  5. Step 5: Solve for x
    x = 17,823,852,036/62,325
  6. Step 6: Final answer
    x = 285,982.38

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.