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Finding the Third Proportional to 515,908,856,400 and 769,389,382,140

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Solution

The third proportional to 515,908,856,400 and 769,389,382,140 is: 1,147,412,016,689.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    515,908,856,400 : 769,389,382,140 = 769,389,382,140 : x
  2. Step 2: Convert to fraction form
    515,908,856,400/769,389,382,140 = 769,389,382,140/x
  3. Step 3: Cross multiply
    515,908,856,400x = 769,389,382,140 × 769,389,382,140
  4. Step 4: Simplify right side
    515,908,856,400x = 591,960,021,349,770,951,917,568
  5. Step 5: Solve for x
    x = 591,960,021,349,770,951,917,568/515,908,856,400
  6. Step 6: Final answer
    x = 1,147,412,016,689.25

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.