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Finding the Third Proportional to 114,540.75 and 248,683.50

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Solution

The third proportional to 114,540.75 and 248,683.50 is: 539,925.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,540.75 : 248,683.50 = 248,683.50 : x
  2. Step 2: Convert to fraction form
    114,540.75/248,683.50 = 248,683.50/x
  3. Step 3: Cross multiply
    114,540.75x = 248,683.50 × 248,683.50
  4. Step 4: Simplify right side
    114,540.75x = 61,843,483,172.25
  5. Step 5: Solve for x
    x = 61,843,483,172.25/114,540.75
  6. Step 6: Final answer
    x = 539,925.60

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.