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Finding the Third Proportional to 138,796,960.25 and 215,608,107.50

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Solution

The third proportional to 138,796,960.25 and 215,608,107.50 is: 334,927,046.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,796,960.25 : 215,608,107.50 = 215,608,107.50 : x
  2. Step 2: Convert to fraction form
    138,796,960.25/215,608,107.50 = 215,608,107.50/x
  3. Step 3: Cross multiply
    138,796,960.25x = 215,608,107.50 × 215,608,107.50
  4. Step 4: Simplify right side
    138,796,960.25x = 46,486,856,019,731,560
  5. Step 5: Solve for x
    x = 46,486,856,019,731,560/138,796,960.25
  6. Step 6: Final answer
    x = 334,927,046.93

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.