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Finding the Third Proportional to 42,124.50 and 92,161.69

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Solution

The third proportional to 42,124.50 and 92,161.69 is: 201,635.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,124.50 : 92,161.69 = 92,161.69 : x
  2. Step 2: Convert to fraction form
    42,124.50/92,161.69 = 92,161.69/x
  3. Step 3: Cross multiply
    42,124.50x = 92,161.69 × 92,161.69
  4. Step 4: Simplify right side
    42,124.50x = 8,493,776,642.85
  5. Step 5: Solve for x
    x = 8,493,776,642.85/42,124.50
  6. Step 6: Final answer
    x = 201,635.07

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.