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Finding the Third Proportional to 140,318 and 210,637

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Solution

The third proportional to 140,318 and 210,637 is: 316,195.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,318 : 210,637 = 210,637 : x
  2. Step 2: Convert to fraction form
    140,318/210,637 = 210,637/x
  3. Step 3: Cross multiply
    140,318x = 210,637 × 210,637
  4. Step 4: Simplify right side
    140,318x = 44,367,945,769
  5. Step 5: Solve for x
    x = 44,367,945,769/140,318
  6. Step 6: Final answer
    x = 316,195.68

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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.