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Finding the Third Proportional to 70,049 and 104,826

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Solution

The third proportional to 70,049 and 104,826 is: 156,868.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,049 : 104,826 = 104,826 : x
  2. Step 2: Convert to fraction form
    70,049/104,826 = 104,826/x
  3. Step 3: Cross multiply
    70,049x = 104,826 × 104,826
  4. Step 4: Simplify right side
    70,049x = 10,988,490,276
  5. Step 5: Solve for x
    x = 10,988,490,276/70,049
  6. Step 6: Final answer
    x = 156,868.62

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.