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Finding the Third Proportional to 121,922 and 260,752

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Solution

The third proportional to 121,922 and 260,752 is: 557,664.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,922 : 260,752 = 260,752 : x
  2. Step 2: Convert to fraction form
    121,922/260,752 = 260,752/x
  3. Step 3: Cross multiply
    121,922x = 260,752 × 260,752
  4. Step 4: Simplify right side
    121,922x = 67,991,605,504
  5. Step 5: Solve for x
    x = 67,991,605,504/121,922
  6. Step 6: Final answer
    x = 557,664.78

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.