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Finding the Third Proportional to 57,385.97 and 121,606.31

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Solution

The third proportional to 57,385.97 and 121,606.31 is: 257,695.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,385.97 : 121,606.31 = 121,606.31 : x
  2. Step 2: Convert to fraction form
    57,385.97/121,606.31 = 121,606.31/x
  3. Step 3: Cross multiply
    57,385.97x = 121,606.31 × 121,606.31
  4. Step 4: Simplify right side
    57,385.97x = 14,788,095,239.85
  5. Step 5: Solve for x
    x = 14,788,095,239.85/57,385.97
  6. Step 6: Final answer
    x = 257,695.31

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.