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Finding the Third Proportional to 550,409 and 775,097

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Solution

The third proportional to 550,409 and 775,097 is: 1,091,507.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    550,409 : 775,097 = 775,097 : x
  2. Step 2: Convert to fraction form
    550,409/775,097 = 775,097/x
  3. Step 3: Cross multiply
    550,409x = 775,097 × 775,097
  4. Step 4: Simplify right side
    550,409x = 600,775,359,409
  5. Step 5: Solve for x
    x = 600,775,359,409/550,409
  6. Step 6: Final answer
    x = 1,091,507.15

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.