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Finding the Third Proportional to 81,206,742 and 175,357,308

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Solution

The third proportional to 81,206,742 and 175,357,308 is: 378,665,424.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,206,742 : 175,357,308 = 175,357,308 : x
  2. Step 2: Convert to fraction form
    81,206,742/175,357,308 = 175,357,308/x
  3. Step 3: Cross multiply
    81,206,742x = 175,357,308 × 175,357,308
  4. Step 4: Simplify right side
    81,206,742x = 30,750,185,469,006,864
  5. Step 5: Solve for x
    x = 30,750,185,469,006,864/81,206,742
  6. Step 6: Final answer
    x = 378,665,424.96

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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.