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Finding the Third Proportional to 51,322 and 106,724

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Solution

The third proportional to 51,322 and 106,724 is: 221,932.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,322 : 106,724 = 106,724 : x
  2. Step 2: Convert to fraction form
    51,322/106,724 = 106,724/x
  3. Step 3: Cross multiply
    51,322x = 106,724 × 106,724
  4. Step 4: Simplify right side
    51,322x = 11,390,012,176
  5. Step 5: Solve for x
    x = 11,390,012,176/51,322
  6. Step 6: Final answer
    x = 221,932.35

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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.