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Finding the Third Proportional to 203,076,336 and 309,376,008

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Solution

The third proportional to 203,076,336 and 309,376,008 is: 471,317,910.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,076,336 : 309,376,008 = 309,376,008 : x
  2. Step 2: Convert to fraction form
    203,076,336/309,376,008 = 309,376,008/x
  3. Step 3: Cross multiply
    203,076,336x = 309,376,008 × 309,376,008
  4. Step 4: Simplify right side
    203,076,336x = 95,713,514,326,016,064
  5. Step 5: Solve for x
    x = 95,713,514,326,016,064/203,076,336
  6. Step 6: Final answer
    x = 471,317,910.35

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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.