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Finding the Third Proportional to 41,077.50 and 60,643.50

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Solution

The third proportional to 41,077.50 and 60,643.50 is: 89,529.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,077.50 : 60,643.50 = 60,643.50 : x
  2. Step 2: Convert to fraction form
    41,077.50/60,643.50 = 60,643.50/x
  3. Step 3: Cross multiply
    41,077.50x = 60,643.50 × 60,643.50
  4. Step 4: Simplify right side
    41,077.50x = 3,677,634,092.25
  5. Step 5: Solve for x
    x = 3,677,634,092.25/41,077.50
  6. Step 6: Final answer
    x = 89,529.16

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.