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Finding the Third Proportional to 51,370 and 106,772

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Solution

The third proportional to 51,370 and 106,772 is: 221,924.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,370 : 106,772 = 106,772 : x
  2. Step 2: Convert to fraction form
    51,370/106,772 = 106,772/x
  3. Step 3: Cross multiply
    51,370x = 106,772 × 106,772
  4. Step 4: Simplify right side
    51,370x = 11,400,259,984
  5. Step 5: Solve for x
    x = 11,400,259,984/51,370
  6. Step 6: Final answer
    x = 221,924.47

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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.