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Finding the Third Proportional to 300,435,176.25 and 640,553,737.50

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Solution

The third proportional to 300,435,176.25 and 640,553,737.50 is: 1,365,715,878.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,435,176.25 : 640,553,737.50 = 640,553,737.50 : x
  2. Step 2: Convert to fraction form
    300,435,176.25/640,553,737.50 = 640,553,737.50/x
  3. Step 3: Cross multiply
    300,435,176.25x = 640,553,737.50 × 640,553,737.50
  4. Step 4: Simplify right side
    300,435,176.25x = 410,309,090,625,218,880
  5. Step 5: Solve for x
    x = 410,309,090,625,218,880/300,435,176.25
  6. Step 6: Final answer
    x = 1,365,715,878.37

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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.