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Finding the Third Proportional to 140,367 and 306,975

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Solution

The third proportional to 140,367 and 306,975 is: 671,337.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,367 : 306,975 = 306,975 : x
  2. Step 2: Convert to fraction form
    140,367/306,975 = 306,975/x
  3. Step 3: Cross multiply
    140,367x = 306,975 × 306,975
  4. Step 4: Simplify right side
    140,367x = 94,233,650,625
  5. Step 5: Solve for x
    x = 94,233,650,625/140,367
  6. Step 6: Final answer
    x = 671,337.64

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.