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Finding the Third Proportional to 55,565 and 78,247

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Solution

The third proportional to 55,565 and 78,247 is: 110,187.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,565 : 78,247 = 78,247 : x
  2. Step 2: Convert to fraction form
    55,565/78,247 = 78,247/x
  3. Step 3: Cross multiply
    55,565x = 78,247 × 78,247
  4. Step 4: Simplify right side
    55,565x = 6,122,593,009
  5. Step 5: Solve for x
    x = 6,122,593,009/55,565
  6. Step 6: Final answer
    x = 110,187.94

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.