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Finding the Third Proportional to 218,181,475,578 and 509,770,374,405

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Solution

The third proportional to 218,181,475,578 and 509,770,374,405 is: 1,191,053,612,285.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,181,475,578 : 509,770,374,405 = 509,770,374,405 : x
  2. Step 2: Convert to fraction form
    218,181,475,578/509,770,374,405 = 509,770,374,405/x
  3. Step 3: Cross multiply
    218,181,475,578x = 509,770,374,405 × 509,770,374,405
  4. Step 4: Simplify right side
    218,181,475,578x = 259,865,834,621,013,894,103,040
  5. Step 5: Solve for x
    x = 259,865,834,621,013,894,103,040/218,181,475,578
  6. Step 6: Final answer
    x = 1,191,053,612,285.76

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.