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Finding the Third Proportional to 248,434.50 and 536,211.75

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Solution

The third proportional to 248,434.50 and 536,211.75 is: 1,157,339.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    248,434.50 : 536,211.75 = 536,211.75 : x
  2. Step 2: Convert to fraction form
    248,434.50/536,211.75 = 536,211.75/x
  3. Step 3: Cross multiply
    248,434.50x = 536,211.75 × 536,211.75
  4. Step 4: Simplify right side
    248,434.50x = 287,523,040,838.06
  5. Step 5: Solve for x
    x = 287,523,040,838.06/248,434.50
  6. Step 6: Final answer
    x = 1,157,339.42

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.