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Finding the Third Proportional to 98,726 and 217,124

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Solution

The third proportional to 98,726 and 217,124 is: 477,511.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,726 : 217,124 = 217,124 : x
  2. Step 2: Convert to fraction form
    98,726/217,124 = 217,124/x
  3. Step 3: Cross multiply
    98,726x = 217,124 × 217,124
  4. Step 4: Simplify right side
    98,726x = 47,142,831,376
  5. Step 5: Solve for x
    x = 47,142,831,376/98,726
  6. Step 6: Final answer
    x = 477,511.81

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.