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Finding the Third Proportional to 125,289 and 273,190.50

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Solution

The third proportional to 125,289 and 273,190.50 is: 595,687.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,289 : 273,190.50 = 273,190.50 : x
  2. Step 2: Convert to fraction form
    125,289/273,190.50 = 273,190.50/x
  3. Step 3: Cross multiply
    125,289x = 273,190.50 × 273,190.50
  4. Step 4: Simplify right side
    125,289x = 74,633,049,290.25
  5. Step 5: Solve for x
    x = 74,633,049,290.25/125,289
  6. Step 6: Final answer
    x = 595,687.17

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.