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Finding the Third Proportional to 962,419,770 and 2,062,966,204.50

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Solution

The third proportional to 962,419,770 and 2,062,966,204.50 is: 4,422,009,702.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    962,419,770 : 2,062,966,204.50 = 2,062,966,204.50 : x
  2. Step 2: Convert to fraction form
    962,419,770/2,062,966,204.50 = 2,062,966,204.50/x
  3. Step 3: Cross multiply
    962,419,770x = 2,062,966,204.50 × 2,062,966,204.50
  4. Step 4: Simplify right side
    962,419,770x = 4,255,829,560,909,135,872
  5. Step 5: Solve for x
    x = 4,255,829,560,909,135,872/962,419,770
  6. Step 6: Final answer
    x = 4,422,009,702.59

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.