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Finding the Third Proportional to 131,497 and 213,637.50

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Solution

The third proportional to 131,497 and 213,637.50 is: 347,087.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,497 : 213,637.50 = 213,637.50 : x
  2. Step 2: Convert to fraction form
    131,497/213,637.50 = 213,637.50/x
  3. Step 3: Cross multiply
    131,497x = 213,637.50 × 213,637.50
  4. Step 4: Simplify right side
    131,497x = 45,640,981,406.25
  5. Step 5: Solve for x
    x = 45,640,981,406.25/131,497
  6. Step 6: Final answer
    x = 347,087.62

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Why These Related Problems?

These problems maintain the same ratio (1.62) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.