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Finding the Third Proportional to 412,367,282,040 and 887,757,121,325

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Solution

The third proportional to 412,367,282,040 and 887,757,121,325 is: 1,911,191,165,711.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,367,282,040 : 887,757,121,325 = 887,757,121,325 : x
  2. Step 2: Convert to fraction form
    412,367,282,040/887,757,121,325 = 887,757,121,325/x
  3. Step 3: Cross multiply
    412,367,282,040x = 887,757,121,325 × 887,757,121,325
  4. Step 4: Simplify right side
    412,367,282,040x = 788,112,706,463,250,815,909,888
  5. Step 5: Solve for x
    x = 788,112,706,463,250,815,909,888/412,367,282,040
  6. Step 6: Final answer
    x = 1,911,191,165,711.36

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.