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Finding the Third Proportional to 66,409 and 142,660

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Solution

The third proportional to 66,409 and 142,660 is: 306,462.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,409 : 142,660 = 142,660 : x
  2. Step 2: Convert to fraction form
    66,409/142,660 = 142,660/x
  3. Step 3: Cross multiply
    66,409x = 142,660 × 142,660
  4. Step 4: Simplify right side
    66,409x = 20,351,875,600
  5. Step 5: Solve for x
    x = 20,351,875,600/66,409
  6. Step 6: Final answer
    x = 306,462.61

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.