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Finding the Third Proportional to 33,753 and 51,953

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Solution

The third proportional to 33,753 and 51,953 is: 79,966.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,753 : 51,953 = 51,953 : x
  2. Step 2: Convert to fraction form
    33,753/51,953 = 51,953/x
  3. Step 3: Cross multiply
    33,753x = 51,953 × 51,953
  4. Step 4: Simplify right side
    33,753x = 2,699,114,209
  5. Step 5: Solve for x
    x = 2,699,114,209/33,753
  6. Step 6: Final answer
    x = 79,966.65

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.