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Finding the Third Proportional to 203,076,291 and 309,375,940.50

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Solution

The third proportional to 203,076,291 and 309,375,940.50 is: 471,317,809.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,076,291 : 309,375,940.50 = 309,375,940.50 : x
  2. Step 2: Convert to fraction form
    203,076,291/309,375,940.50 = 309,375,940.50/x
  3. Step 3: Cross multiply
    203,076,291x = 309,375,940.50 × 309,375,940.50
  4. Step 4: Simplify right side
    203,076,291x = 95,713,472,560,259,536
  5. Step 5: Solve for x
    x = 95,713,472,560,259,536/203,076,291
  6. Step 6: Final answer
    x = 471,317,809.13

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.