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Finding the Third Proportional to 121,374 and 258,057

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Solution

The third proportional to 121,374 and 258,057 is: 548,662.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,374 : 258,057 = 258,057 : x
  2. Step 2: Convert to fraction form
    121,374/258,057 = 258,057/x
  3. Step 3: Cross multiply
    121,374x = 258,057 × 258,057
  4. Step 4: Simplify right side
    121,374x = 66,593,415,249
  5. Step 5: Solve for x
    x = 66,593,415,249/121,374
  6. Step 6: Final answer
    x = 548,662.94

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.