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Finding the Third Proportional to 131,142.80 and 208,537.03

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Solution

The third proportional to 131,142.80 and 208,537.03 is: 331,605.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,142.80 : 208,537.03 = 208,537.03 : x
  2. Step 2: Convert to fraction form
    131,142.80/208,537.03 = 208,537.03/x
  3. Step 3: Cross multiply
    131,142.80x = 208,537.03 × 208,537.03
  4. Step 4: Simplify right side
    131,142.80x = 43,487,693,402.56
  5. Step 5: Solve for x
    x = 43,487,693,402.56/131,142.80
  6. Step 6: Final answer
    x = 331,605.66

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.