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Finding the Third Proportional to 199,150 and 315,497

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Solution

The third proportional to 199,150 and 315,497 is: 499,816.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,150 : 315,497 = 315,497 : x
  2. Step 2: Convert to fraction form
    199,150/315,497 = 315,497/x
  3. Step 3: Cross multiply
    199,150x = 315,497 × 315,497
  4. Step 4: Simplify right side
    199,150x = 99,538,357,009
  5. Step 5: Solve for x
    x = 99,538,357,009/199,150
  6. Step 6: Final answer
    x = 499,816.00

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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.