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Finding the Third Proportional to 121,719 and 262,878

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Solution

The third proportional to 121,719 and 262,878 is: 567,740.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,719 : 262,878 = 262,878 : x
  2. Step 2: Convert to fraction form
    121,719/262,878 = 262,878/x
  3. Step 3: Cross multiply
    121,719x = 262,878 × 262,878
  4. Step 4: Simplify right side
    121,719x = 69,104,842,884
  5. Step 5: Solve for x
    x = 69,104,842,884/121,719
  6. Step 6: Final answer
    x = 567,740.80

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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.