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Finding the Third Proportional to 117,639 and 128,331

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Solution

The third proportional to 117,639 and 128,331 is: 139,994.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,639 : 128,331 = 128,331 : x
  2. Step 2: Convert to fraction form
    117,639/128,331 = 128,331/x
  3. Step 3: Cross multiply
    117,639x = 128,331 × 128,331
  4. Step 4: Simplify right side
    117,639x = 16,468,845,561
  5. Step 5: Solve for x
    x = 16,468,845,561/117,639
  6. Step 6: Final answer
    x = 139,994.78

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Why These Related Problems?

These problems maintain the same ratio (1.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.