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Finding the Third Proportional to 69,006 and 128,166

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Solution

The third proportional to 69,006 and 128,166 is: 238,044.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,006 : 128,166 = 128,166 : x
  2. Step 2: Convert to fraction form
    69,006/128,166 = 128,166/x
  3. Step 3: Cross multiply
    69,006x = 128,166 × 128,166
  4. Step 4: Simplify right side
    69,006x = 16,426,523,556
  5. Step 5: Solve for x
    x = 16,426,523,556/69,006
  6. Step 6: Final answer
    x = 238,044.86

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Why These Related Problems?

These problems maintain the same ratio (1.86) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.