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Finding the Third Proportional to 638,740,438 and 1,385,895,180

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Solution

The third proportional to 638,740,438 and 1,385,895,180 is: 3,007,020,278.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    638,740,438 : 1,385,895,180 = 1,385,895,180 : x
  2. Step 2: Convert to fraction form
    638,740,438/1,385,895,180 = 1,385,895,180/x
  3. Step 3: Cross multiply
    638,740,438x = 1,385,895,180 × 1,385,895,180
  4. Step 4: Simplify right side
    638,740,438x = 1,920,705,449,947,232,512
  5. Step 5: Solve for x
    x = 1,920,705,449,947,232,512/638,740,438
  6. Step 6: Final answer
    x = 3,007,020,278.79

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.