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Finding the Third Proportional to 69,412 and 107,646

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Solution

The third proportional to 69,412 and 107,646 is: 166,940.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,412 : 107,646 = 107,646 : x
  2. Step 2: Convert to fraction form
    69,412/107,646 = 107,646/x
  3. Step 3: Cross multiply
    69,412x = 107,646 × 107,646
  4. Step 4: Simplify right side
    69,412x = 11,587,661,316
  5. Step 5: Solve for x
    x = 11,587,661,316/69,412
  6. Step 6: Final answer
    x = 166,940.32

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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.