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Finding the Third Proportional to 303,848 and 488,172

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Solution

The third proportional to 303,848 and 488,172 is: 784,312.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,848 : 488,172 = 488,172 : x
  2. Step 2: Convert to fraction form
    303,848/488,172 = 488,172/x
  3. Step 3: Cross multiply
    303,848x = 488,172 × 488,172
  4. Step 4: Simplify right side
    303,848x = 238,311,901,584
  5. Step 5: Solve for x
    x = 238,311,901,584/303,848
  6. Step 6: Final answer
    x = 784,312.89

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.