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Finding the Third Proportional to 53,253 and 115,902

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Solution

The third proportional to 53,253 and 115,902 is: 252,253.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,253 : 115,902 = 115,902 : x
  2. Step 2: Convert to fraction form
    53,253/115,902 = 115,902/x
  3. Step 3: Cross multiply
    53,253x = 115,902 × 115,902
  4. Step 4: Simplify right side
    53,253x = 13,433,273,604
  5. Step 5: Solve for x
    x = 13,433,273,604/53,253
  6. Step 6: Final answer
    x = 252,253.84

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.