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Finding the Third Proportional to 140,781 and 211,354.50

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Solution

The third proportional to 140,781 and 211,354.50 is: 317,306.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,781 : 211,354.50 = 211,354.50 : x
  2. Step 2: Convert to fraction form
    140,781/211,354.50 = 211,354.50/x
  3. Step 3: Cross multiply
    140,781x = 211,354.50 × 211,354.50
  4. Step 4: Simplify right side
    140,781x = 44,670,724,670.25
  5. Step 5: Solve for x
    x = 44,670,724,670.25/140,781
  6. Step 6: Final answer
    x = 317,306.49

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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.