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Finding the Third Proportional to 306,012 and 505,704

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Solution

The third proportional to 306,012 and 505,704 is: 835,707.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,012 : 505,704 = 505,704 : x
  2. Step 2: Convert to fraction form
    306,012/505,704 = 505,704/x
  3. Step 3: Cross multiply
    306,012x = 505,704 × 505,704
  4. Step 4: Simplify right side
    306,012x = 255,736,535,616
  5. Step 5: Solve for x
    x = 255,736,535,616/306,012
  6. Step 6: Final answer
    x = 835,707.54

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Why These Related Problems?

These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.