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Finding the Third Proportional to 121,266.75 and 255,102.84

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Solution

The third proportional to 121,266.75 and 255,102.84 is: 536,647.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,266.75 : 255,102.84 = 255,102.84 : x
  2. Step 2: Convert to fraction form
    121,266.75/255,102.84 = 255,102.84/x
  3. Step 3: Cross multiply
    121,266.75x = 255,102.84 × 255,102.84
  4. Step 4: Simplify right side
    121,266.75x = 65,077,460,889.34
  5. Step 5: Solve for x
    x = 65,077,460,889.34/121,266.75
  6. Step 6: Final answer
    x = 536,647.19

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.