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Finding the Third Proportional to 54,302.91 and 81,374.63

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Solution

The third proportional to 54,302.91 and 81,374.63 is: 121,942.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,302.91 : 81,374.63 = 81,374.63 : x
  2. Step 2: Convert to fraction form
    54,302.91/81,374.63 = 81,374.63/x
  3. Step 3: Cross multiply
    54,302.91x = 81,374.63 × 81,374.63
  4. Step 4: Simplify right side
    54,302.91x = 6,621,829,593.89
  5. Step 5: Solve for x
    x = 6,621,829,593.89/54,302.91
  6. Step 6: Final answer
    x = 121,942.45

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.