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Finding the Third Proportional to 52,260.75 and 78,880.78

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Solution

The third proportional to 52,260.75 and 78,880.78 is: 119,060.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,260.75 : 78,880.78 = 78,880.78 : x
  2. Step 2: Convert to fraction form
    52,260.75/78,880.78 = 78,880.78/x
  3. Step 3: Cross multiply
    52,260.75x = 78,880.78 × 78,880.78
  4. Step 4: Simplify right side
    52,260.75x = 6,222,177,650.61
  5. Step 5: Solve for x
    x = 6,222,177,650.61/52,260.75
  6. Step 6: Final answer
    x = 119,060.24

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.