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Finding the Third Proportional to 41,600 and 63,944

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Solution

The third proportional to 41,600 and 63,944 is: 98,289.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,600 : 63,944 = 63,944 : x
  2. Step 2: Convert to fraction form
    41,600/63,944 = 63,944/x
  3. Step 3: Cross multiply
    41,600x = 63,944 × 63,944
  4. Step 4: Simplify right side
    41,600x = 4,088,835,136
  5. Step 5: Solve for x
    x = 4,088,835,136/41,600
  6. Step 6: Final answer
    x = 98,289.31

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.