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Finding the Third Proportional to 90,184 and 121,668

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Solution

The third proportional to 90,184 and 121,668 is: 164,143.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,184 : 121,668 = 121,668 : x
  2. Step 2: Convert to fraction form
    90,184/121,668 = 121,668/x
  3. Step 3: Cross multiply
    90,184x = 121,668 × 121,668
  4. Step 4: Simplify right side
    90,184x = 14,803,102,224
  5. Step 5: Solve for x
    x = 14,803,102,224/90,184
  6. Step 6: Final answer
    x = 164,143.33

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.