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Finding the Third Proportional to 131,784 and 289,848

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Solution

The third proportional to 131,784 and 289,848 is: 637,496.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,784 : 289,848 = 289,848 : x
  2. Step 2: Convert to fraction form
    131,784/289,848 = 289,848/x
  3. Step 3: Cross multiply
    131,784x = 289,848 × 289,848
  4. Step 4: Simplify right side
    131,784x = 84,011,863,104
  5. Step 5: Solve for x
    x = 84,011,863,104/131,784
  6. Step 6: Final answer
    x = 637,496.68

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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.