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Finding the Third Proportional to 56,243.25 and 118,811.25

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Solution

The third proportional to 56,243.25 and 118,811.25 is: 250,983.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,243.25 : 118,811.25 = 118,811.25 : x
  2. Step 2: Convert to fraction form
    56,243.25/118,811.25 = 118,811.25/x
  3. Step 3: Cross multiply
    56,243.25x = 118,811.25 × 118,811.25
  4. Step 4: Simplify right side
    56,243.25x = 14,116,113,126.56
  5. Step 5: Solve for x
    x = 14,116,113,126.56/56,243.25
  6. Step 6: Final answer
    x = 250,983.24

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.