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Finding the Third Proportional to 140,466 and 304,743

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Solution

The third proportional to 140,466 and 304,743 is: 661,144.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,466 : 304,743 = 304,743 : x
  2. Step 2: Convert to fraction form
    140,466/304,743 = 304,743/x
  3. Step 3: Cross multiply
    140,466x = 304,743 × 304,743
  4. Step 4: Simplify right side
    140,466x = 92,868,296,049
  5. Step 5: Solve for x
    x = 92,868,296,049/140,466
  6. Step 6: Final answer
    x = 661,144.31

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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.