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Finding the Third Proportional to 778,079,870.13 and 1,680,392,543.75

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Solution

The third proportional to 778,079,870.13 and 1,680,392,543.75 is: 3,629,086,433.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    778,079,870.13 : 1,680,392,543.75 = 1,680,392,543.75 : x
  2. Step 2: Convert to fraction form
    778,079,870.13/1,680,392,543.75 = 1,680,392,543.75/x
  3. Step 3: Cross multiply
    778,079,870.13x = 1,680,392,543.75 × 1,680,392,543.75
  4. Step 4: Simplify right side
    778,079,870.13x = 2,823,719,101,090,595,840
  5. Step 5: Solve for x
    x = 2,823,719,101,090,595,840/778,079,870.13
  6. Step 6: Final answer
    x = 3,629,086,433.81

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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.