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Finding the Third Proportional to 300,435,232.50 and 640,553,844

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Solution

The third proportional to 300,435,232.50 and 640,553,844 is: 1,365,716,076.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,435,232.50 : 640,553,844 = 640,553,844 : x
  2. Step 2: Convert to fraction form
    300,435,232.50/640,553,844 = 640,553,844/x
  3. Step 3: Cross multiply
    300,435,232.50x = 640,553,844 × 640,553,844
  4. Step 4: Simplify right side
    300,435,232.50x = 410,309,227,063,176,320
  5. Step 5: Solve for x
    x = 410,309,227,063,176,320/300,435,232.50
  6. Step 6: Final answer
    x = 1,365,716,076.80

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.