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Finding the Third Proportional to 380,972.11 and 518,901.82

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Solution

The third proportional to 380,972.11 and 518,901.82 is: 706,768.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,972.11 : 518,901.82 = 518,901.82 : x
  2. Step 2: Convert to fraction form
    380,972.11/518,901.82 = 518,901.82/x
  3. Step 3: Cross multiply
    380,972.11x = 518,901.82 × 518,901.82
  4. Step 4: Simplify right side
    380,972.11x = 269,259,099,123.63
  5. Step 5: Solve for x
    x = 269,259,099,123.63/380,972.11
  6. Step 6: Final answer
    x = 706,768.53

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.