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Finding the Third Proportional to 131,088 and 287,187.75

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Solution

The third proportional to 131,088 and 287,187.75 is: 629,171.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,088 : 287,187.75 = 287,187.75 : x
  2. Step 2: Convert to fraction form
    131,088/287,187.75 = 287,187.75/x
  3. Step 3: Cross multiply
    131,088x = 287,187.75 × 287,187.75
  4. Step 4: Simplify right side
    131,088x = 82,476,803,750.06
  5. Step 5: Solve for x
    x = 82,476,803,750.06/131,088
  6. Step 6: Final answer
    x = 629,171.27

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.