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Finding the Third Proportional to 131,243 and 286,543

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Solution

The third proportional to 131,243 and 286,543 is: 625,609.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,243 : 286,543 = 286,543 : x
  2. Step 2: Convert to fraction form
    131,243/286,543 = 286,543/x
  3. Step 3: Cross multiply
    131,243x = 286,543 × 286,543
  4. Step 4: Simplify right side
    131,243x = 82,106,890,849
  5. Step 5: Solve for x
    x = 82,106,890,849/131,243
  6. Step 6: Final answer
    x = 625,609.68

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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.