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Finding the Third Proportional to 131,343.75 and 208,011.38

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Solution

The third proportional to 131,343.75 and 208,011.38 is: 329,431.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,343.75 : 208,011.38 = 208,011.38 : x
  2. Step 2: Convert to fraction form
    131,343.75/208,011.38 = 208,011.38/x
  3. Step 3: Cross multiply
    131,343.75x = 208,011.38 × 208,011.38
  4. Step 4: Simplify right side
    131,343.75x = 43,268,732,129.39
  5. Step 5: Solve for x
    x = 43,268,732,129.39/131,343.75
  6. Step 6: Final answer
    x = 329,431.22

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.