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Finding the Third Proportional to 144,666 and 221,168

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Solution

The third proportional to 144,666 and 221,168 is: 338,125.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,666 : 221,168 = 221,168 : x
  2. Step 2: Convert to fraction form
    144,666/221,168 = 221,168/x
  3. Step 3: Cross multiply
    144,666x = 221,168 × 221,168
  4. Step 4: Simplify right side
    144,666x = 48,915,284,224
  5. Step 5: Solve for x
    x = 48,915,284,224/144,666
  6. Step 6: Final answer
    x = 338,125.64

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.