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Finding the Third Proportional to 55,321,713 and 81,188,953.50

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Solution

The third proportional to 55,321,713 and 81,188,953.50 is: 119,151,158.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,321,713 : 81,188,953.50 = 81,188,953.50 : x
  2. Step 2: Convert to fraction form
    55,321,713/81,188,953.50 = 81,188,953.50/x
  3. Step 3: Cross multiply
    55,321,713x = 81,188,953.50 × 81,188,953.50
  4. Step 4: Simplify right side
    55,321,713x = 6,591,646,170,425,162
  5. Step 5: Solve for x
    x = 6,591,646,170,425,162/55,321,713
  6. Step 6: Final answer
    x = 119,151,158.07

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.