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Finding the Third Proportional to 309,139,800 and 666,705,786.75

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Solution

The third proportional to 309,139,800 and 666,705,786.75 is: 1,437,849,820.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,139,800 : 666,705,786.75 = 666,705,786.75 : x
  2. Step 2: Convert to fraction form
    309,139,800/666,705,786.75 = 666,705,786.75/x
  3. Step 3: Cross multiply
    309,139,800x = 666,705,786.75 × 666,705,786.75
  4. Step 4: Simplify right side
    309,139,800x = 444,496,606,085,936,448
  5. Step 5: Solve for x
    x = 444,496,606,085,936,448/309,139,800
  6. Step 6: Final answer
    x = 1,437,849,820.97

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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.