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Finding the Third Proportional to 199,208 and 315,584

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Solution

The third proportional to 199,208 and 315,584 is: 499,946.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,208 : 315,584 = 315,584 : x
  2. Step 2: Convert to fraction form
    199,208/315,584 = 315,584/x
  3. Step 3: Cross multiply
    199,208x = 315,584 × 315,584
  4. Step 4: Simplify right side
    199,208x = 99,593,261,056
  5. Step 5: Solve for x
    x = 99,593,261,056/199,208
  6. Step 6: Final answer
    x = 499,946.09

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.