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Finding the Third Proportional to 131,485 and 213,621

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Solution

The third proportional to 131,485 and 213,621 is: 347,065.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,485 : 213,621 = 213,621 : x
  2. Step 2: Convert to fraction form
    131,485/213,621 = 213,621/x
  3. Step 3: Cross multiply
    131,485x = 213,621 × 213,621
  4. Step 4: Simplify right side
    131,485x = 45,633,931,641
  5. Step 5: Solve for x
    x = 45,633,931,641/131,485
  6. Step 6: Final answer
    x = 347,065.69

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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.