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Finding the Third Proportional to 69,276 and 107,475

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Solution

The third proportional to 69,276 and 107,475 is: 166,737.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,276 : 107,475 = 107,475 : x
  2. Step 2: Convert to fraction form
    69,276/107,475 = 107,475/x
  3. Step 3: Cross multiply
    69,276x = 107,475 × 107,475
  4. Step 4: Simplify right side
    69,276x = 11,550,875,625
  5. Step 5: Solve for x
    x = 11,550,875,625/69,276
  6. Step 6: Final answer
    x = 166,737.05

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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.