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Finding the Third Proportional to 140,414 and 304,660

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Solution

The third proportional to 140,414 and 304,660 is: 661,028.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,414 : 304,660 = 304,660 : x
  2. Step 2: Convert to fraction form
    140,414/304,660 = 304,660/x
  3. Step 3: Cross multiply
    140,414x = 304,660 × 304,660
  4. Step 4: Simplify right side
    140,414x = 92,817,715,600
  5. Step 5: Solve for x
    x = 92,817,715,600/140,414
  6. Step 6: Final answer
    x = 661,028.93

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.