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Finding the Third Proportional to 131,238 and 286,533

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Solution

The third proportional to 131,238 and 286,533 is: 625,589.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,238 : 286,533 = 286,533 : x
  2. Step 2: Convert to fraction form
    131,238/286,533 = 286,533/x
  3. Step 3: Cross multiply
    131,238x = 286,533 × 286,533
  4. Step 4: Simplify right side
    131,238x = 82,101,160,089
  5. Step 5: Solve for x
    x = 82,101,160,089/131,238
  6. Step 6: Final answer
    x = 625,589.85

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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.