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Finding the Third Proportional to 53,910 and 73,242

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Solution

The third proportional to 53,910 and 73,242 is: 99,506.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,910 : 73,242 = 73,242 : x
  2. Step 2: Convert to fraction form
    53,910/73,242 = 73,242/x
  3. Step 3: Cross multiply
    53,910x = 73,242 × 73,242
  4. Step 4: Simplify right side
    53,910x = 5,364,390,564
  5. Step 5: Solve for x
    x = 5,364,390,564/53,910
  6. Step 6: Final answer
    x = 99,506.41

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.