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Finding the Third Proportional to 140,736 and 210,402

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Solution

The third proportional to 140,736 and 210,402 is: 314,553.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,736 : 210,402 = 210,402 : x
  2. Step 2: Convert to fraction form
    140,736/210,402 = 210,402/x
  3. Step 3: Cross multiply
    140,736x = 210,402 × 210,402
  4. Step 4: Simplify right side
    140,736x = 44,269,001,604
  5. Step 5: Solve for x
    x = 44,269,001,604/140,736
  6. Step 6: Final answer
    x = 314,553.50

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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.