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Finding the Third Proportional to 260,185.50 and 415,975.50

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Solution

The third proportional to 260,185.50 and 415,975.50 is: 665,047.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,185.50 : 415,975.50 = 415,975.50 : x
  2. Step 2: Convert to fraction form
    260,185.50/415,975.50 = 415,975.50/x
  3. Step 3: Cross multiply
    260,185.50x = 415,975.50 × 415,975.50
  4. Step 4: Simplify right side
    260,185.50x = 173,035,616,600.25
  5. Step 5: Solve for x
    x = 173,035,616,600.25/260,185.50
  6. Step 6: Final answer
    x = 665,047.12

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.