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Finding the Third Proportional to 21,054,770 and 45,917,188

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Solution

The third proportional to 21,054,770 and 45,917,188 is: 100,138,265.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,054,770 : 45,917,188 = 45,917,188 : x
  2. Step 2: Convert to fraction form
    21,054,770/45,917,188 = 45,917,188/x
  3. Step 3: Cross multiply
    21,054,770x = 45,917,188 × 45,917,188
  4. Step 4: Simplify right side
    21,054,770x = 2,108,388,153,827,344
  5. Step 5: Solve for x
    x = 2,108,388,153,827,344/21,054,770
  6. Step 6: Final answer
    x = 100,138,265.76

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.