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Finding the Third Proportional to 140,121 and 210,324

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Solution

The third proportional to 140,121 and 210,324 is: 315,699.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,121 : 210,324 = 210,324 : x
  2. Step 2: Convert to fraction form
    140,121/210,324 = 210,324/x
  3. Step 3: Cross multiply
    140,121x = 210,324 × 210,324
  4. Step 4: Simplify right side
    140,121x = 44,236,184,976
  5. Step 5: Solve for x
    x = 44,236,184,976/140,121
  6. Step 6: Final answer
    x = 315,699.89

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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.