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Finding the Third Proportional to 55,912 and 78,220

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Solution

The third proportional to 55,912 and 78,220 is: 109,428.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,912 : 78,220 = 78,220 : x
  2. Step 2: Convert to fraction form
    55,912/78,220 = 78,220/x
  3. Step 3: Cross multiply
    55,912x = 78,220 × 78,220
  4. Step 4: Simplify right side
    55,912x = 6,118,368,400
  5. Step 5: Solve for x
    x = 6,118,368,400/55,912
  6. Step 6: Final answer
    x = 109,428.54

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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.