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Finding the Third Proportional to 70,370.25 and 143,605.50

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Solution

The third proportional to 70,370.25 and 143,605.50 is: 293,057.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,370.25 : 143,605.50 = 143,605.50 : x
  2. Step 2: Convert to fraction form
    70,370.25/143,605.50 = 143,605.50/x
  3. Step 3: Cross multiply
    70,370.25x = 143,605.50 × 143,605.50
  4. Step 4: Simplify right side
    70,370.25x = 20,622,539,630.25
  5. Step 5: Solve for x
    x = 20,622,539,630.25/70,370.25
  6. Step 6: Final answer
    x = 293,057.64

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.