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Finding the Third Proportional to 143,409 and 296,029

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Solution

The third proportional to 143,409 and 296,029 is: 611,071.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,409 : 296,029 = 296,029 : x
  2. Step 2: Convert to fraction form
    143,409/296,029 = 296,029/x
  3. Step 3: Cross multiply
    143,409x = 296,029 × 296,029
  4. Step 4: Simplify right side
    143,409x = 87,633,168,841
  5. Step 5: Solve for x
    x = 87,633,168,841/143,409
  6. Step 6: Final answer
    x = 611,071.61

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.