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Finding the Third Proportional to 378,954,385 and 829,341,863

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Solution

The third proportional to 378,954,385 and 829,341,863 is: 1,815,015,086.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,954,385 : 829,341,863 = 829,341,863 : x
  2. Step 2: Convert to fraction form
    378,954,385/829,341,863 = 829,341,863/x
  3. Step 3: Cross multiply
    378,954,385x = 829,341,863 × 829,341,863
  4. Step 4: Simplify right side
    378,954,385x = 687,807,925,724,310,784
  5. Step 5: Solve for x
    x = 687,807,925,724,310,784/378,954,385
  6. Step 6: Final answer
    x = 1,815,015,086.11

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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.