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Finding the Third Proportional to 505,326 and 743,209

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Solution

The third proportional to 505,326 and 743,209 is: 1,093,075.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,326 : 743,209 = 743,209 : x
  2. Step 2: Convert to fraction form
    505,326/743,209 = 743,209/x
  3. Step 3: Cross multiply
    505,326x = 743,209 × 743,209
  4. Step 4: Simplify right side
    505,326x = 552,359,617,681
  5. Step 5: Solve for x
    x = 552,359,617,681/505,326
  6. Step 6: Final answer
    x = 1,093,075.79

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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.