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Finding the Third Proportional to 131,840 and 289,888

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Solution

The third proportional to 131,840 and 289,888 is: 637,401.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,840 : 289,888 = 289,888 : x
  2. Step 2: Convert to fraction form
    131,840/289,888 = 289,888/x
  3. Step 3: Cross multiply
    131,840x = 289,888 × 289,888
  4. Step 4: Simplify right side
    131,840x = 84,035,052,544
  5. Step 5: Solve for x
    x = 84,035,052,544/131,840
  6. Step 6: Final answer
    x = 637,401.79

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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.