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Finding the Third Proportional to 131,506 and 213,651

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Solution

The third proportional to 131,506 and 213,651 is: 347,107.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,506 : 213,651 = 213,651 : x
  2. Step 2: Convert to fraction form
    131,506/213,651 = 213,651/x
  3. Step 3: Cross multiply
    131,506x = 213,651 × 213,651
  4. Step 4: Simplify right side
    131,506x = 45,646,749,801
  5. Step 5: Solve for x
    x = 45,646,749,801/131,506
  6. Step 6: Final answer
    x = 347,107.74

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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.