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Finding the Third Proportional to 109,141 and 235,778

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Solution

The third proportional to 109,141 and 235,778 is: 509,352.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,141 : 235,778 = 235,778 : x
  2. Step 2: Convert to fraction form
    109,141/235,778 = 235,778/x
  3. Step 3: Cross multiply
    109,141x = 235,778 × 235,778
  4. Step 4: Simplify right side
    109,141x = 55,591,265,284
  5. Step 5: Solve for x
    x = 55,591,265,284/109,141
  6. Step 6: Final answer
    x = 509,352.72

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.