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Finding the Third Proportional to 55,792 and 78,036

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Solution

The third proportional to 55,792 and 78,036 is: 109,148.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,792 : 78,036 = 78,036 : x
  2. Step 2: Convert to fraction form
    55,792/78,036 = 78,036/x
  3. Step 3: Cross multiply
    55,792x = 78,036 × 78,036
  4. Step 4: Simplify right side
    55,792x = 6,089,617,296
  5. Step 5: Solve for x
    x = 6,089,617,296/55,792
  6. Step 6: Final answer
    x = 109,148.57

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.