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Finding the Third Proportional to 505,290 and 759,986

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Solution

The third proportional to 505,290 and 759,986 is: 1,143,063.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,290 : 759,986 = 759,986 : x
  2. Step 2: Convert to fraction form
    505,290/759,986 = 759,986/x
  3. Step 3: Cross multiply
    505,290x = 759,986 × 759,986
  4. Step 4: Simplify right side
    505,290x = 577,578,720,196
  5. Step 5: Solve for x
    x = 577,578,720,196/505,290
  6. Step 6: Final answer
    x = 1,143,063.83

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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.