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Finding the Third Proportional to 121,290.75 and 255,143.25

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Solution

The third proportional to 121,290.75 and 255,143.25 is: 536,710.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,290.75 : 255,143.25 = 255,143.25 : x
  2. Step 2: Convert to fraction form
    121,290.75/255,143.25 = 255,143.25/x
  3. Step 3: Cross multiply
    121,290.75x = 255,143.25 × 255,143.25
  4. Step 4: Simplify right side
    121,290.75x = 65,098,078,020.56
  5. Step 5: Solve for x
    x = 65,098,078,020.56/121,290.75
  6. Step 6: Final answer
    x = 536,710.99

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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.