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Finding the Third Proportional to 51,213 and 106,515

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Solution

The third proportional to 51,213 and 106,515 is: 221,534.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,213 : 106,515 = 106,515 : x
  2. Step 2: Convert to fraction form
    51,213/106,515 = 106,515/x
  3. Step 3: Cross multiply
    51,213x = 106,515 × 106,515
  4. Step 4: Simplify right side
    51,213x = 11,345,445,225
  5. Step 5: Solve for x
    x = 11,345,445,225/51,213
  6. Step 6: Final answer
    x = 221,534.48

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.