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Finding the Third Proportional to 2,948.50 and 5,244.50

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Solution

The third proportional to 2,948.50 and 5,244.50 is: 9,328.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,948.50 : 5,244.50 = 5,244.50 : x
  2. Step 2: Convert to fraction form
    2,948.50/5,244.50 = 5,244.50/x
  3. Step 3: Cross multiply
    2,948.50x = 5,244.50 × 5,244.50
  4. Step 4: Simplify right side
    2,948.50x = 27,504,780.25
  5. Step 5: Solve for x
    x = 27,504,780.25/2,948.50
  6. Step 6: Final answer
    x = 9,328.40

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These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.