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Finding the Third Proportional to 778,079,806 and 1,680,392,419

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Solution

The third proportional to 778,079,806 and 1,680,392,419 is: 3,629,086,194.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    778,079,806 : 1,680,392,419 = 1,680,392,419 : x
  2. Step 2: Convert to fraction form
    778,079,806/1,680,392,419 = 1,680,392,419/x
  3. Step 3: Cross multiply
    778,079,806x = 1,680,392,419 × 1,680,392,419
  4. Step 4: Simplify right side
    778,079,806x = 2,823,718,681,832,671,744
  5. Step 5: Solve for x
    x = 2,823,718,681,832,671,744/778,079,806
  6. Step 6: Final answer
    x = 3,629,086,194.06

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.