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Finding the Third Proportional to 343,625.50 and 505,140

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Solution

The third proportional to 343,625.50 and 505,140 is: 742,571.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,625.50 : 505,140 = 505,140 : x
  2. Step 2: Convert to fraction form
    343,625.50/505,140 = 505,140/x
  3. Step 3: Cross multiply
    343,625.50x = 505,140 × 505,140
  4. Step 4: Simplify right side
    343,625.50x = 255,166,419,600
  5. Step 5: Solve for x
    x = 255,166,419,600/343,625.50
  6. Step 6: Final answer
    x = 742,571.26

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.