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Finding the Third Proportional to 135,277.50 and 210,284.25

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Solution

The third proportional to 135,277.50 and 210,284.25 is: 326,879.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,277.50 : 210,284.25 = 210,284.25 : x
  2. Step 2: Convert to fraction form
    135,277.50/210,284.25 = 210,284.25/x
  3. Step 3: Cross multiply
    135,277.50x = 210,284.25 × 210,284.25
  4. Step 4: Simplify right side
    135,277.50x = 44,219,465,798.06
  5. Step 5: Solve for x
    x = 44,219,465,798.06/135,277.50
  6. Step 6: Final answer
    x = 326,879.68

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.