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Finding the Third Proportional to 378,954,387 and 829,341,867

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Solution

The third proportional to 378,954,387 and 829,341,867 is: 1,815,015,094.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,954,387 : 829,341,867 = 829,341,867 : x
  2. Step 2: Convert to fraction form
    378,954,387/829,341,867 = 829,341,867/x
  3. Step 3: Cross multiply
    378,954,387x = 829,341,867 × 829,341,867
  4. Step 4: Simplify right side
    378,954,387x = 687,807,932,359,045,632
  5. Step 5: Solve for x
    x = 687,807,932,359,045,632/378,954,387
  6. Step 6: Final answer
    x = 1,815,015,094.04

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.