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Finding the Third Proportional to 48,948 and 103,620

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Solution

The third proportional to 48,948 and 103,620 is: 219,357.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,948 : 103,620 = 103,620 : x
  2. Step 2: Convert to fraction form
    48,948/103,620 = 103,620/x
  3. Step 3: Cross multiply
    48,948x = 103,620 × 103,620
  4. Step 4: Simplify right side
    48,948x = 10,737,104,400
  5. Step 5: Solve for x
    x = 10,737,104,400/48,948
  6. Step 6: Final answer
    x = 219,357.37

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.