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Finding the Third Proportional to 140,119 and 210,320

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Solution

The third proportional to 140,119 and 210,320 is: 315,692.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,119 : 210,320 = 210,320 : x
  2. Step 2: Convert to fraction form
    140,119/210,320 = 210,320/x
  3. Step 3: Cross multiply
    140,119x = 210,320 × 210,320
  4. Step 4: Simplify right side
    140,119x = 44,234,502,400
  5. Step 5: Solve for x
    x = 44,234,502,400/140,119
  6. Step 6: Final answer
    x = 315,692.39

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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.