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Finding the Third Proportional to 74,432.81 and 113,391.56

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Solution

The third proportional to 74,432.81 and 113,391.56 is: 172,741.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,432.81 : 113,391.56 = 113,391.56 : x
  2. Step 2: Convert to fraction form
    74,432.81/113,391.56 = 113,391.56/x
  3. Step 3: Cross multiply
    74,432.81x = 113,391.56 × 113,391.56
  4. Step 4: Simplify right side
    74,432.81x = 12,857,646,446.19
  5. Step 5: Solve for x
    x = 12,857,646,446.19/74,432.81
  6. Step 6: Final answer
    x = 172,741.64

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.