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Finding the Third Proportional to 19,856 and 29,176

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Solution

The third proportional to 19,856 and 29,176 is: 42,870.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,856 : 29,176 = 29,176 : x
  2. Step 2: Convert to fraction form
    19,856/29,176 = 29,176/x
  3. Step 3: Cross multiply
    19,856x = 29,176 × 29,176
  4. Step 4: Simplify right side
    19,856x = 851,238,976
  5. Step 5: Solve for x
    x = 851,238,976/19,856
  6. Step 6: Final answer
    x = 42,870.62

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.