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Finding the Third Proportional to 57,878 and 122,865

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Solution

The third proportional to 57,878 and 122,865 is: 260,821.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,878 : 122,865 = 122,865 : x
  2. Step 2: Convert to fraction form
    57,878/122,865 = 122,865/x
  3. Step 3: Cross multiply
    57,878x = 122,865 × 122,865
  4. Step 4: Simplify right side
    57,878x = 15,095,808,225
  5. Step 5: Solve for x
    x = 15,095,808,225/57,878
  6. Step 6: Final answer
    x = 260,821.18

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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.