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Finding the Third Proportional to 7,981,714.69 and 17,508,537.28

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Solution

The third proportional to 7,981,714.69 and 17,508,537.28 is: 38,406,393.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,981,714.69 : 17,508,537.28 = 17,508,537.28 : x
  2. Step 2: Convert to fraction form
    7,981,714.69/17,508,537.28 = 17,508,537.28/x
  3. Step 3: Cross multiply
    7,981,714.69x = 17,508,537.28 × 17,508,537.28
  4. Step 4: Simplify right side
    7,981,714.69x = 306,548,877,728,921.12
  5. Step 5: Solve for x
    x = 306,548,877,728,921.12/7,981,714.69
  6. Step 6: Final answer
    x = 38,406,393.83

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.