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Finding the Third Proportional to 140,985 and 305,343

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Solution

The third proportional to 140,985 and 305,343 is: 661,306.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,985 : 305,343 = 305,343 : x
  2. Step 2: Convert to fraction form
    140,985/305,343 = 305,343/x
  3. Step 3: Cross multiply
    140,985x = 305,343 × 305,343
  4. Step 4: Simplify right side
    140,985x = 93,234,347,649
  5. Step 5: Solve for x
    x = 93,234,347,649/140,985
  6. Step 6: Final answer
    x = 661,306.86

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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.