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Finding the Third Proportional to 77,744,448 and 179,983,296

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Solution

The third proportional to 77,744,448 and 179,983,296 is: 416,672,671.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,744,448 : 179,983,296 = 179,983,296 : x
  2. Step 2: Convert to fraction form
    77,744,448/179,983,296 = 179,983,296/x
  3. Step 3: Cross multiply
    77,744,448x = 179,983,296 × 179,983,296
  4. Step 4: Simplify right side
    77,744,448x = 32,393,986,839,023,616
  5. Step 5: Solve for x
    x = 32,393,986,839,023,616/77,744,448
  6. Step 6: Final answer
    x = 416,672,671.46

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.