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Finding the Third Proportional to 63,723 and 140,307

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Solution

The third proportional to 63,723 and 140,307 is: 308,931.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,723 : 140,307 = 140,307 : x
  2. Step 2: Convert to fraction form
    63,723/140,307 = 140,307/x
  3. Step 3: Cross multiply
    63,723x = 140,307 × 140,307
  4. Step 4: Simplify right side
    63,723x = 19,686,054,249
  5. Step 5: Solve for x
    x = 19,686,054,249/63,723
  6. Step 6: Final answer
    x = 308,931.69

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.