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Finding the Third Proportional to 69,705 and 107,706.38

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Solution

The third proportional to 69,705 and 107,706.38 is: 166,425.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,705 : 107,706.38 = 107,706.38 : x
  2. Step 2: Convert to fraction form
    69,705/107,706.38 = 107,706.38/x
  3. Step 3: Cross multiply
    69,705x = 107,706.38 × 107,706.38
  4. Step 4: Simplify right side
    69,705x = 11,600,663,215.64
  5. Step 5: Solve for x
    x = 11,600,663,215.64/69,705
  6. Step 6: Final answer
    x = 166,425.12

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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.