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Finding the Third Proportional to 93,846 and 141,576

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Solution

The third proportional to 93,846 and 141,576 is: 213,581.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,846 : 141,576 = 141,576 : x
  2. Step 2: Convert to fraction form
    93,846/141,576 = 141,576/x
  3. Step 3: Cross multiply
    93,846x = 141,576 × 141,576
  4. Step 4: Simplify right side
    93,846x = 20,043,763,776
  5. Step 5: Solve for x
    x = 20,043,763,776/93,846
  6. Step 6: Final answer
    x = 213,581.44

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.