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Finding the Third Proportional to 121,717.50 and 262,875

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Solution

The third proportional to 121,717.50 and 262,875 is: 567,734.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,717.50 : 262,875 = 262,875 : x
  2. Step 2: Convert to fraction form
    121,717.50/262,875 = 262,875/x
  3. Step 3: Cross multiply
    121,717.50x = 262,875 × 262,875
  4. Step 4: Simplify right side
    121,717.50x = 69,103,265,625
  5. Step 5: Solve for x
    x = 69,103,265,625/121,717.50
  6. Step 6: Final answer
    x = 567,734.84

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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.