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Finding the Third Proportional to 505,294 and 759,990

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Solution

The third proportional to 505,294 and 759,990 is: 1,143,066.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,294 : 759,990 = 759,990 : x
  2. Step 2: Convert to fraction form
    505,294/759,990 = 759,990/x
  3. Step 3: Cross multiply
    505,294x = 759,990 × 759,990
  4. Step 4: Simplify right side
    505,294x = 577,584,800,100
  5. Step 5: Solve for x
    x = 577,584,800,100/505,294
  6. Step 6: Final answer
    x = 1,143,066.81

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.