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Finding the Third Proportional to 108,990 and 235,191

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Solution

The third proportional to 108,990 and 235,191 is: 507,521.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,990 : 235,191 = 235,191 : x
  2. Step 2: Convert to fraction form
    108,990/235,191 = 235,191/x
  3. Step 3: Cross multiply
    108,990x = 235,191 × 235,191
  4. Step 4: Simplify right side
    108,990x = 55,314,806,481
  5. Step 5: Solve for x
    x = 55,314,806,481/108,990
  6. Step 6: Final answer
    x = 507,521.85

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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.