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Finding the Third Proportional to 250,823 and 388,535

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Solution

The third proportional to 250,823 and 388,535 is: 601,856.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    250,823 : 388,535 = 388,535 : x
  2. Step 2: Convert to fraction form
    250,823/388,535 = 388,535/x
  3. Step 3: Cross multiply
    250,823x = 388,535 × 388,535
  4. Step 4: Simplify right side
    250,823x = 150,959,446,225
  5. Step 5: Solve for x
    x = 150,959,446,225/250,823
  6. Step 6: Final answer
    x = 601,856.47

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.