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Finding the Third Proportional to 140,420 and 304,652

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Solution

The third proportional to 140,420 and 304,652 is: 660,965.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,420 : 304,652 = 304,652 : x
  2. Step 2: Convert to fraction form
    140,420/304,652 = 304,652/x
  3. Step 3: Cross multiply
    140,420x = 304,652 × 304,652
  4. Step 4: Simplify right side
    140,420x = 92,812,841,104
  5. Step 5: Solve for x
    x = 92,812,841,104/140,420
  6. Step 6: Final answer
    x = 660,965.97

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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.