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Finding the Third Proportional to 33,052 and 53,207

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Solution

The third proportional to 33,052 and 53,207 is: 85,652.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,052 : 53,207 = 53,207 : x
  2. Step 2: Convert to fraction form
    33,052/53,207 = 53,207/x
  3. Step 3: Cross multiply
    33,052x = 53,207 × 53,207
  4. Step 4: Simplify right side
    33,052x = 2,830,984,849
  5. Step 5: Solve for x
    x = 2,830,984,849/33,052
  6. Step 6: Final answer
    x = 85,652.45

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.