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Finding the Third Proportional to 90,106 and 129,794

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Solution

The third proportional to 90,106 and 129,794 is: 186,962.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,106 : 129,794 = 129,794 : x
  2. Step 2: Convert to fraction form
    90,106/129,794 = 129,794/x
  3. Step 3: Cross multiply
    90,106x = 129,794 × 129,794
  4. Step 4: Simplify right side
    90,106x = 16,846,482,436
  5. Step 5: Solve for x
    x = 16,846,482,436/90,106
  6. Step 6: Final answer
    x = 186,962.94

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.