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Finding the Third Proportional to 53,421 and 113,990

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Solution

The third proportional to 53,421 and 113,990 is: 243,232.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,421 : 113,990 = 113,990 : x
  2. Step 2: Convert to fraction form
    53,421/113,990 = 113,990/x
  3. Step 3: Cross multiply
    53,421x = 113,990 × 113,990
  4. Step 4: Simplify right side
    53,421x = 12,993,720,100
  5. Step 5: Solve for x
    x = 12,993,720,100/53,421
  6. Step 6: Final answer
    x = 243,232.44

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.