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Finding the Third Proportional to 31,003,824 and 72,416,029

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Solution

The third proportional to 31,003,824 and 72,416,029 is: 169,143,046.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,003,824 : 72,416,029 = 72,416,029 : x
  2. Step 2: Convert to fraction form
    31,003,824/72,416,029 = 72,416,029/x
  3. Step 3: Cross multiply
    31,003,824x = 72,416,029 × 72,416,029
  4. Step 4: Simplify right side
    31,003,824x = 5,244,081,256,128,841
  5. Step 5: Solve for x
    x = 5,244,081,256,128,841/31,003,824
  6. Step 6: Final answer
    x = 169,143,046.87

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.