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Finding the Third Proportional to 69,416 and 107,420

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Solution

The third proportional to 69,416 and 107,420 is: 166,230.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,416 : 107,420 = 107,420 : x
  2. Step 2: Convert to fraction form
    69,416/107,420 = 107,420/x
  3. Step 3: Cross multiply
    69,416x = 107,420 × 107,420
  4. Step 4: Simplify right side
    69,416x = 11,539,056,400
  5. Step 5: Solve for x
    x = 11,539,056,400/69,416
  6. Step 6: Final answer
    x = 166,230.50

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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.