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Finding the Third Proportional to 81,335,578.50 and 178,811,643

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Solution

The third proportional to 81,335,578.50 and 178,811,643 is: 393,107,226.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,335,578.50 : 178,811,643 = 178,811,643 : x
  2. Step 2: Convert to fraction form
    81,335,578.50/178,811,643 = 178,811,643/x
  3. Step 3: Cross multiply
    81,335,578.50x = 178,811,643 × 178,811,643
  4. Step 4: Simplify right side
    81,335,578.50x = 31,973,603,672,359,448
  5. Step 5: Solve for x
    x = 31,973,603,672,359,448/81,335,578.50
  6. Step 6: Final answer
    x = 393,107,226.41

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.