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Finding the Third Proportional to 204,100,114.50 and 315,172,782

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Solution

The third proportional to 204,100,114.50 and 315,172,782 is: 486,691,948.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,100,114.50 : 315,172,782 = 315,172,782 : x
  2. Step 2: Convert to fraction form
    204,100,114.50/315,172,782 = 315,172,782/x
  3. Step 3: Cross multiply
    204,100,114.50x = 315,172,782 × 315,172,782
  4. Step 4: Simplify right side
    204,100,114.50x = 99,333,882,513,619,520
  5. Step 5: Solve for x
    x = 99,333,882,513,619,520/204,100,114.50
  6. Step 6: Final answer
    x = 486,691,948.98

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.