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Finding the Third Proportional to 57,449 and 121,521

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Solution

The third proportional to 57,449 and 121,521 is: 257,051.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,449 : 121,521 = 121,521 : x
  2. Step 2: Convert to fraction form
    57,449/121,521 = 121,521/x
  3. Step 3: Cross multiply
    57,449x = 121,521 × 121,521
  4. Step 4: Simplify right side
    57,449x = 14,767,353,441
  5. Step 5: Solve for x
    x = 14,767,353,441/57,449
  6. Step 6: Final answer
    x = 257,051.53

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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.