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Finding the Third Proportional to 121,742 and 262,924

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Solution

The third proportional to 121,742 and 262,924 is: 567,832.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,742 : 262,924 = 262,924 : x
  2. Step 2: Convert to fraction form
    121,742/262,924 = 262,924/x
  3. Step 3: Cross multiply
    121,742x = 262,924 × 262,924
  4. Step 4: Simplify right side
    121,742x = 69,129,029,776
  5. Step 5: Solve for x
    x = 69,129,029,776/121,742
  6. Step 6: Final answer
    x = 567,832.22

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.