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Finding the Third Proportional to 20,179,664 and 31,332,688

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Solution

The third proportional to 20,179,664 and 31,332,688 is: 48,649,835.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,179,664 : 31,332,688 = 31,332,688 : x
  2. Step 2: Convert to fraction form
    20,179,664/31,332,688 = 31,332,688/x
  3. Step 3: Cross multiply
    20,179,664x = 31,332,688 × 31,332,688
  4. Step 4: Simplify right side
    20,179,664x = 981,737,337,305,344
  5. Step 5: Solve for x
    x = 981,737,337,305,344/20,179,664
  6. Step 6: Final answer
    x = 48,649,835.66

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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.