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Finding the Third Proportional to 117,722 and 251,602

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Solution

The third proportional to 117,722 and 251,602 is: 537,737.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,722 : 251,602 = 251,602 : x
  2. Step 2: Convert to fraction form
    117,722/251,602 = 251,602/x
  3. Step 3: Cross multiply
    117,722x = 251,602 × 251,602
  4. Step 4: Simplify right side
    117,722x = 63,303,566,404
  5. Step 5: Solve for x
    x = 63,303,566,404/117,722
  6. Step 6: Final answer
    x = 537,737.78

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.