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Finding the Third Proportional to 48,878 and 103,040

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Solution

The third proportional to 48,878 and 103,040 is: 217,219.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,878 : 103,040 = 103,040 : x
  2. Step 2: Convert to fraction form
    48,878/103,040 = 103,040/x
  3. Step 3: Cross multiply
    48,878x = 103,040 × 103,040
  4. Step 4: Simplify right side
    48,878x = 10,617,241,600
  5. Step 5: Solve for x
    x = 10,617,241,600/48,878
  6. Step 6: Final answer
    x = 217,219.23

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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.