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Finding the Third Proportional to 117,111.38 and 251,987.63

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Solution

The third proportional to 117,111.38 and 251,987.63 is: 542,199.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,111.38 : 251,987.63 = 251,987.63 : x
  2. Step 2: Convert to fraction form
    117,111.38/251,987.63 = 251,987.63/x
  3. Step 3: Cross multiply
    117,111.38x = 251,987.63 × 251,987.63
  4. Step 4: Simplify right side
    117,111.38x = 63,497,763,153.14
  5. Step 5: Solve for x
    x = 63,497,763,153.14/117,111.38
  6. Step 6: Final answer
    x = 542,199.79

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.