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Finding the Third Proportional to 208,738,530 and 412,208,167.50

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Solution

The third proportional to 208,738,530 and 412,208,167.50 is: 814,011,545.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,738,530 : 412,208,167.50 = 412,208,167.50 : x
  2. Step 2: Convert to fraction form
    208,738,530/412,208,167.50 = 412,208,167.50/x
  3. Step 3: Cross multiply
    208,738,530x = 412,208,167.50 × 412,208,167.50
  4. Step 4: Simplify right side
    208,738,530x = 169,915,573,353,708,064
  5. Step 5: Solve for x
    x = 169,915,573,353,708,064/208,738,530
  6. Step 6: Final answer
    x = 814,011,545.23

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.