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Finding the Third Proportional to 133,039 and 210,638

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Solution

The third proportional to 133,039 and 210,638 is: 333,498.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,039 : 210,638 = 210,638 : x
  2. Step 2: Convert to fraction form
    133,039/210,638 = 210,638/x
  3. Step 3: Cross multiply
    133,039x = 210,638 × 210,638
  4. Step 4: Simplify right side
    133,039x = 44,368,367,044
  5. Step 5: Solve for x
    x = 44,368,367,044/133,039
  6. Step 6: Final answer
    x = 333,498.95

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.