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Finding the Third Proportional to 183,078 and 385,839

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Solution

The third proportional to 183,078 and 385,839 is: 813,160.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,078 : 385,839 = 385,839 : x
  2. Step 2: Convert to fraction form
    183,078/385,839 = 385,839/x
  3. Step 3: Cross multiply
    183,078x = 385,839 × 385,839
  4. Step 4: Simplify right side
    183,078x = 148,871,733,921
  5. Step 5: Solve for x
    x = 148,871,733,921/183,078
  6. Step 6: Final answer
    x = 813,160.15

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.