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Finding the Third Proportional to 131,205.38 and 208,875.38

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Solution

The third proportional to 131,205.38 and 208,875.38 is: 332,523.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,205.38 : 208,875.38 = 208,875.38 : x
  2. Step 2: Convert to fraction form
    131,205.38/208,875.38 = 208,875.38/x
  3. Step 3: Cross multiply
    131,205.38x = 208,875.38 × 208,875.38
  4. Step 4: Simplify right side
    131,205.38x = 43,628,922,281.39
  5. Step 5: Solve for x
    x = 43,628,922,281.39/131,205.38
  6. Step 6: Final answer
    x = 332,523.89

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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.