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Finding the Third Proportional to 53,476.31 and 113,760.56

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Solution

The third proportional to 53,476.31 and 113,760.56 is: 242,003.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,476.31 : 113,760.56 = 113,760.56 : x
  2. Step 2: Convert to fraction form
    53,476.31/113,760.56 = 113,760.56/x
  3. Step 3: Cross multiply
    53,476.31x = 113,760.56 × 113,760.56
  4. Step 4: Simplify right side
    53,476.31x = 12,941,465,580.32
  5. Step 5: Solve for x
    x = 12,941,465,580.32/53,476.31
  6. Step 6: Final answer
    x = 242,003.70

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.