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Finding the Third Proportional to 106,633,270,742 and 222,092,514,028

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Solution

The third proportional to 106,633,270,742 and 222,092,514,028 is: 462,567,493,654.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,633,270,742 : 222,092,514,028 = 222,092,514,028 : x
  2. Step 2: Convert to fraction form
    106,633,270,742/222,092,514,028 = 222,092,514,028/x
  3. Step 3: Cross multiply
    106,633,270,742x = 222,092,514,028 × 222,092,514,028
  4. Step 4: Simplify right side
    106,633,270,742x = 49,325,084,787,277,375,209,472
  5. Step 5: Solve for x
    x = 49,325,084,787,277,375,209,472/106,633,270,742
  6. Step 6: Final answer
    x = 462,567,493,654.21

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.