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Finding the Third Proportional to 140,234 and 210,143

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Solution

The third proportional to 140,234 and 210,143 is: 314,902.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,234 : 210,143 = 210,143 : x
  2. Step 2: Convert to fraction form
    140,234/210,143 = 210,143/x
  3. Step 3: Cross multiply
    140,234x = 210,143 × 210,143
  4. Step 4: Simplify right side
    140,234x = 44,160,080,449
  5. Step 5: Solve for x
    x = 44,160,080,449/140,234
  6. Step 6: Final answer
    x = 314,902.81

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.