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Finding the Third Proportional to 55,457 and 121,049

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Solution

The third proportional to 55,457 and 121,049 is: 264,220.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,457 : 121,049 = 121,049 : x
  2. Step 2: Convert to fraction form
    55,457/121,049 = 121,049/x
  3. Step 3: Cross multiply
    55,457x = 121,049 × 121,049
  4. Step 4: Simplify right side
    55,457x = 14,652,860,401
  5. Step 5: Solve for x
    x = 14,652,860,401/55,457
  6. Step 6: Final answer
    x = 264,220.21

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.