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Finding the Third Proportional to 57,781,713.23 and 128,021,945.34

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Solution

The third proportional to 57,781,713.23 and 128,021,945.34 is: 283,647,153.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,781,713.23 : 128,021,945.34 = 128,021,945.34 : x
  2. Step 2: Convert to fraction form
    57,781,713.23/128,021,945.34 = 128,021,945.34/x
  3. Step 3: Cross multiply
    57,781,713.23x = 128,021,945.34 × 128,021,945.34
  4. Step 4: Simplify right side
    57,781,713.23x = 16,389,618,489,598,112
  5. Step 5: Solve for x
    x = 16,389,618,489,598,112/57,781,713.23
  6. Step 6: Final answer
    x = 283,647,153.61

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.