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Finding the Third Proportional to 20,190,138 and 31,322,261

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Solution

The third proportional to 20,190,138 and 31,322,261 is: 48,592,240.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,190,138 : 31,322,261 = 31,322,261 : x
  2. Step 2: Convert to fraction form
    20,190,138/31,322,261 = 31,322,261/x
  3. Step 3: Cross multiply
    20,190,138x = 31,322,261 × 31,322,261
  4. Step 4: Simplify right side
    20,190,138x = 981,084,034,152,121
  5. Step 5: Solve for x
    x = 981,084,034,152,121/20,190,138
  6. Step 6: Final answer
    x = 48,592,240.14

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.