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Finding the Third Proportional to 117,739 and 251,636

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Solution

The third proportional to 117,739 and 251,636 is: 537,805.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,739 : 251,636 = 251,636 : x
  2. Step 2: Convert to fraction form
    117,739/251,636 = 251,636/x
  3. Step 3: Cross multiply
    117,739x = 251,636 × 251,636
  4. Step 4: Simplify right side
    117,739x = 63,320,676,496
  5. Step 5: Solve for x
    x = 63,320,676,496/117,739
  6. Step 6: Final answer
    x = 537,805.46

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.