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Finding the Third Proportional to 21,878 and 48,130

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Solution

The third proportional to 21,878 and 48,130 is: 105,882.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,878 : 48,130 = 48,130 : x
  2. Step 2: Convert to fraction form
    21,878/48,130 = 48,130/x
  3. Step 3: Cross multiply
    21,878x = 48,130 × 48,130
  4. Step 4: Simplify right side
    21,878x = 2,316,496,900
  5. Step 5: Solve for x
    x = 2,316,496,900/21,878
  6. Step 6: Final answer
    x = 105,882.48

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.