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Finding the Third Proportional to 33,559 and 73,430

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Solution

The third proportional to 33,559 and 73,430 is: 160,671.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,559 : 73,430 = 73,430 : x
  2. Step 2: Convert to fraction form
    33,559/73,430 = 73,430/x
  3. Step 3: Cross multiply
    33,559x = 73,430 × 73,430
  4. Step 4: Simplify right side
    33,559x = 5,391,964,900
  5. Step 5: Solve for x
    x = 5,391,964,900/33,559
  6. Step 6: Final answer
    x = 160,671.20

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.