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Finding the Third Proportional to 51,253 and 110,032

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Solution

The third proportional to 51,253 and 110,032 is: 236,221.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,253 : 110,032 = 110,032 : x
  2. Step 2: Convert to fraction form
    51,253/110,032 = 110,032/x
  3. Step 3: Cross multiply
    51,253x = 110,032 × 110,032
  4. Step 4: Simplify right side
    51,253x = 12,107,041,024
  5. Step 5: Solve for x
    x = 12,107,041,024/51,253
  6. Step 6: Final answer
    x = 236,221.12

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.