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Finding the Third Proportional to 131,826 and 289,860

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Solution

The third proportional to 131,826 and 289,860 is: 637,346.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,826 : 289,860 = 289,860 : x
  2. Step 2: Convert to fraction form
    131,826/289,860 = 289,860/x
  3. Step 3: Cross multiply
    131,826x = 289,860 × 289,860
  4. Step 4: Simplify right side
    131,826x = 84,018,819,600
  5. Step 5: Solve for x
    x = 84,018,819,600/131,826
  6. Step 6: Final answer
    x = 637,346.35

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.