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Finding the Third Proportional to 203,076,338 and 309,376,011

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Solution

The third proportional to 203,076,338 and 309,376,011 is: 471,317,914.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,076,338 : 309,376,011 = 309,376,011 : x
  2. Step 2: Convert to fraction form
    203,076,338/309,376,011 = 309,376,011/x
  3. Step 3: Cross multiply
    203,076,338x = 309,376,011 × 309,376,011
  4. Step 4: Simplify right side
    203,076,338x = 95,713,516,182,272,128
  5. Step 5: Solve for x
    x = 95,713,516,182,272,128/203,076,338
  6. Step 6: Final answer
    x = 471,317,914.85

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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.