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Finding the Third Proportional to 550,412 and 775,100

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Solution

The third proportional to 550,412 and 775,100 is: 1,091,509.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    550,412 : 775,100 = 775,100 : x
  2. Step 2: Convert to fraction form
    550,412/775,100 = 775,100/x
  3. Step 3: Cross multiply
    550,412x = 775,100 × 775,100
  4. Step 4: Simplify right side
    550,412x = 600,780,010,000
  5. Step 5: Solve for x
    x = 600,780,010,000/550,412
  6. Step 6: Final answer
    x = 1,091,509.65

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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.