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Finding the Third Proportional to 109,516 and 235,391

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Solution

The third proportional to 109,516 and 235,391 is: 505,943.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,516 : 235,391 = 235,391 : x
  2. Step 2: Convert to fraction form
    109,516/235,391 = 235,391/x
  3. Step 3: Cross multiply
    109,516x = 235,391 × 235,391
  4. Step 4: Simplify right side
    109,516x = 55,408,922,881
  5. Step 5: Solve for x
    x = 55,408,922,881/109,516
  6. Step 6: Final answer
    x = 505,943.63

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.