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Finding the Third Proportional to 140,126 and 210,329

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Solution

The third proportional to 140,126 and 210,329 is: 315,703.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,126 : 210,329 = 210,329 : x
  2. Step 2: Convert to fraction form
    140,126/210,329 = 210,329/x
  3. Step 3: Cross multiply
    140,126x = 210,329 × 210,329
  4. Step 4: Simplify right side
    140,126x = 44,238,288,241
  5. Step 5: Solve for x
    x = 44,238,288,241/140,126
  6. Step 6: Final answer
    x = 315,703.64

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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.