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Finding the Third Proportional to 31,441,837.50 and 68,748,939

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Solution

The third proportional to 31,441,837.50 and 68,748,939 is: 150,322,531.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,441,837.50 : 68,748,939 = 68,748,939 : x
  2. Step 2: Convert to fraction form
    31,441,837.50/68,748,939 = 68,748,939/x
  3. Step 3: Cross multiply
    31,441,837.50x = 68,748,939 × 68,748,939
  4. Step 4: Simplify right side
    31,441,837.50x = 4,726,416,613,625,721
  5. Step 5: Solve for x
    x = 4,726,416,613,625,721/31,441,837.50
  6. Step 6: Final answer
    x = 150,322,531.68

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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.