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Finding the Third Proportional to 81,419,448 and 175,593,120

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Solution

The third proportional to 81,419,448 and 175,593,120 is: 378,692,616.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,419,448 : 175,593,120 = 175,593,120 : x
  2. Step 2: Convert to fraction form
    81,419,448/175,593,120 = 175,593,120/x
  3. Step 3: Cross multiply
    81,419,448x = 175,593,120 × 175,593,120
  4. Step 4: Simplify right side
    81,419,448x = 30,832,943,791,334,400
  5. Step 5: Solve for x
    x = 30,832,943,791,334,400/81,419,448
  6. Step 6: Final answer
    x = 378,692,616.43

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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.