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Finding the Third Proportional to 365,204 and 784,138

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Solution

The third proportional to 365,204 and 784,138 is: 1,683,640.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,204 : 784,138 = 784,138 : x
  2. Step 2: Convert to fraction form
    365,204/784,138 = 784,138/x
  3. Step 3: Cross multiply
    365,204x = 784,138 × 784,138
  4. Step 4: Simplify right side
    365,204x = 614,872,403,044
  5. Step 5: Solve for x
    x = 614,872,403,044/365,204
  6. Step 6: Final answer
    x = 1,683,640.93

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.