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Finding the Third Proportional to 131,965,098.75 and 289,943,833.50

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Solution

The third proportional to 131,965,098.75 and 289,943,833.50 is: 637,042,880.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,965,098.75 : 289,943,833.50 = 289,943,833.50 : x
  2. Step 2: Convert to fraction form
    131,965,098.75/289,943,833.50 = 289,943,833.50/x
  3. Step 3: Cross multiply
    131,965,098.75x = 289,943,833.50 × 289,943,833.50
  4. Step 4: Simplify right side
    131,965,098.75x = 84,067,426,584,675,728
  5. Step 5: Solve for x
    x = 84,067,426,584,675,728/131,965,098.75
  6. Step 6: Final answer
    x = 637,042,880.13

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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.