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Finding the Third Proportional to 135,978.75 and 215,986.50

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Solution

The third proportional to 135,978.75 and 215,986.50 is: 343,069.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,978.75 : 215,986.50 = 215,986.50 : x
  2. Step 2: Convert to fraction form
    135,978.75/215,986.50 = 215,986.50/x
  3. Step 3: Cross multiply
    135,978.75x = 215,986.50 × 215,986.50
  4. Step 4: Simplify right side
    135,978.75x = 46,650,168,182.25
  5. Step 5: Solve for x
    x = 46,650,168,182.25/135,978.75
  6. Step 6: Final answer
    x = 343,069.55

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.