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Finding the Third Proportional to 131,526 and 213,687

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Solution

The third proportional to 131,526 and 213,687 is: 347,171.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,526 : 213,687 = 213,687 : x
  2. Step 2: Convert to fraction form
    131,526/213,687 = 213,687/x
  3. Step 3: Cross multiply
    131,526x = 213,687 × 213,687
  4. Step 4: Simplify right side
    131,526x = 45,662,133,969
  5. Step 5: Solve for x
    x = 45,662,133,969/131,526
  6. Step 6: Final answer
    x = 347,171.92

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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.