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Finding the Third Proportional to 93,828 and 191,476

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Solution

The third proportional to 93,828 and 191,476 is: 390,747.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,828 : 191,476 = 191,476 : x
  2. Step 2: Convert to fraction form
    93,828/191,476 = 191,476/x
  3. Step 3: Cross multiply
    93,828x = 191,476 × 191,476
  4. Step 4: Simplify right side
    93,828x = 36,663,058,576
  5. Step 5: Solve for x
    x = 36,663,058,576/93,828
  6. Step 6: Final answer
    x = 390,747.52

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.