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Finding the Third Proportional to 55,880 and 122,426

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Solution

The third proportional to 55,880 and 122,426 is: 268,219.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,880 : 122,426 = 122,426 : x
  2. Step 2: Convert to fraction form
    55,880/122,426 = 122,426/x
  3. Step 3: Cross multiply
    55,880x = 122,426 × 122,426
  4. Step 4: Simplify right side
    55,880x = 14,988,125,476
  5. Step 5: Solve for x
    x = 14,988,125,476/55,880
  6. Step 6: Final answer
    x = 268,219.85

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.