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Finding the Third Proportional to 199,803 and 310,542

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Solution

The third proportional to 199,803 and 310,542 is: 482,657.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,803 : 310,542 = 310,542 : x
  2. Step 2: Convert to fraction form
    199,803/310,542 = 310,542/x
  3. Step 3: Cross multiply
    199,803x = 310,542 × 310,542
  4. Step 4: Simplify right side
    199,803x = 96,436,333,764
  5. Step 5: Solve for x
    x = 96,436,333,764/199,803
  6. Step 6: Final answer
    x = 482,657.09

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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.