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Finding the Third Proportional to 82,448,366 and 179,103,481

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Solution

The third proportional to 82,448,366 and 179,103,481 is: 389,068,437.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,448,366 : 179,103,481 = 179,103,481 : x
  2. Step 2: Convert to fraction form
    82,448,366/179,103,481 = 179,103,481/x
  3. Step 3: Cross multiply
    82,448,366x = 179,103,481 × 179,103,481
  4. Step 4: Simplify right side
    82,448,366x = 32,078,056,906,317,360
  5. Step 5: Solve for x
    x = 32,078,056,906,317,360/82,448,366
  6. Step 6: Final answer
    x = 389,068,437.16

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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.