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Finding the Third Proportional to 778,079,806.50 and 1,680,392,421

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Solution

The third proportional to 778,079,806.50 and 1,680,392,421 is: 3,629,086,200.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    778,079,806.50 : 1,680,392,421 = 1,680,392,421 : x
  2. Step 2: Convert to fraction form
    778,079,806.50/1,680,392,421 = 1,680,392,421/x
  3. Step 3: Cross multiply
    778,079,806.50x = 1,680,392,421 × 1,680,392,421
  4. Step 4: Simplify right side
    778,079,806.50x = 2,823,718,688,554,241,024
  5. Step 5: Solve for x
    x = 2,823,718,688,554,241,024/778,079,806.50
  6. Step 6: Final answer
    x = 3,629,086,200.37

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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.