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Finding the Third Proportional to 515,908,856,366 and 769,389,382,100

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Solution

The third proportional to 515,908,856,366 and 769,389,382,100 is: 1,147,412,016,645.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    515,908,856,366 : 769,389,382,100 = 769,389,382,100 : x
  2. Step 2: Convert to fraction form
    515,908,856,366/769,389,382,100 = 769,389,382,100/x
  3. Step 3: Cross multiply
    515,908,856,366x = 769,389,382,100 × 769,389,382,100
  4. Step 4: Simplify right side
    515,908,856,366x = 591,960,021,288,219,775,598,592
  5. Step 5: Solve for x
    x = 591,960,021,288,219,775,598,592/515,908,856,366
  6. Step 6: Final answer
    x = 1,147,412,016,645.57

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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.