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Finding the Third Proportional to 69,698 and 107,139

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Solution

The third proportional to 69,698 and 107,139 is: 164,692.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,698 : 107,139 = 107,139 : x
  2. Step 2: Convert to fraction form
    69,698/107,139 = 107,139/x
  3. Step 3: Cross multiply
    69,698x = 107,139 × 107,139
  4. Step 4: Simplify right side
    69,698x = 11,478,765,321
  5. Step 5: Solve for x
    x = 11,478,765,321/69,698
  6. Step 6: Final answer
    x = 164,692.89

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.