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Finding the Third Proportional to 30,906,036 and 67,192,922.25

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Solution

The third proportional to 30,906,036 and 67,192,922.25 is: 146,084,370.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,906,036 : 67,192,922.25 = 67,192,922.25 : x
  2. Step 2: Convert to fraction form
    30,906,036/67,192,922.25 = 67,192,922.25/x
  3. Step 3: Cross multiply
    30,906,036x = 67,192,922.25 × 67,192,922.25
  4. Step 4: Simplify right side
    30,906,036x = 4,514,888,800,494,545
  5. Step 5: Solve for x
    x = 4,514,888,800,494,545/30,906,036
  6. Step 6: Final answer
    x = 146,084,370.07

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.