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Finding the Third Proportional to 51,725,954 and 81,142,563

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Solution

The third proportional to 51,725,954 and 81,142,563 is: 127,288,431.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,725,954 : 81,142,563 = 81,142,563 : x
  2. Step 2: Convert to fraction form
    51,725,954/81,142,563 = 81,142,563/x
  3. Step 3: Cross multiply
    51,725,954x = 81,142,563 × 81,142,563
  4. Step 4: Simplify right side
    51,725,954x = 6,584,115,530,208,969
  5. Step 5: Solve for x
    x = 6,584,115,530,208,969/51,725,954
  6. Step 6: Final answer
    x = 127,288,431.07

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.