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Finding the Third Proportional to 22,610 and 47,236

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Solution

The third proportional to 22,610 and 47,236 is: 98,683.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,610 : 47,236 = 47,236 : x
  2. Step 2: Convert to fraction form
    22,610/47,236 = 47,236/x
  3. Step 3: Cross multiply
    22,610x = 47,236 × 47,236
  4. Step 4: Simplify right side
    22,610x = 2,231,239,696
  5. Step 5: Solve for x
    x = 2,231,239,696/22,610
  6. Step 6: Final answer
    x = 98,683.75

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.