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Finding the Third Proportional to 41,602 and 56,454

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Solution

The third proportional to 41,602 and 56,454 is: 76,608.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,602 : 56,454 = 56,454 : x
  2. Step 2: Convert to fraction form
    41,602/56,454 = 56,454/x
  3. Step 3: Cross multiply
    41,602x = 56,454 × 56,454
  4. Step 4: Simplify right side
    41,602x = 3,187,054,116
  5. Step 5: Solve for x
    x = 3,187,054,116/41,602
  6. Step 6: Final answer
    x = 76,608.19

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.