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Finding the Third Proportional to 309,169,872 and 666,763,488

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Solution

The third proportional to 309,169,872 and 666,763,488 is: 1,437,958,834.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,169,872 : 666,763,488 = 666,763,488 : x
  2. Step 2: Convert to fraction form
    309,169,872/666,763,488 = 666,763,488/x
  3. Step 3: Cross multiply
    309,169,872x = 666,763,488 × 666,763,488
  4. Step 4: Simplify right side
    309,169,872x = 444,573,548,929,926,144
  5. Step 5: Solve for x
    x = 444,573,548,929,926,144/309,169,872
  6. Step 6: Final answer
    x = 1,437,958,834.91

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.