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Finding the Third Proportional to 78,848 and 122,424

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Solution

The third proportional to 78,848 and 122,424 is: 190,082.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,848 : 122,424 = 122,424 : x
  2. Step 2: Convert to fraction form
    78,848/122,424 = 122,424/x
  3. Step 3: Cross multiply
    78,848x = 122,424 × 122,424
  4. Step 4: Simplify right side
    78,848x = 14,987,635,776
  5. Step 5: Solve for x
    x = 14,987,635,776/78,848
  6. Step 6: Final answer
    x = 190,082.64

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.