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Finding the Third Proportional to 55,068 and 121,515

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Solution

The third proportional to 55,068 and 121,515 is: 268,139.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,068 : 121,515 = 121,515 : x
  2. Step 2: Convert to fraction form
    55,068/121,515 = 121,515/x
  3. Step 3: Cross multiply
    55,068x = 121,515 × 121,515
  4. Step 4: Simplify right side
    55,068x = 14,765,895,225
  5. Step 5: Solve for x
    x = 14,765,895,225/55,068
  6. Step 6: Final answer
    x = 268,139.30

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.