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Finding the Third Proportional to 550,410 and 775,098

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Solution

The third proportional to 550,410 and 775,098 is: 1,091,507.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    550,410 : 775,098 = 775,098 : x
  2. Step 2: Convert to fraction form
    550,410/775,098 = 775,098/x
  3. Step 3: Cross multiply
    550,410x = 775,098 × 775,098
  4. Step 4: Simplify right side
    550,410x = 600,776,909,604
  5. Step 5: Solve for x
    x = 600,776,909,604/550,410
  6. Step 6: Final answer
    x = 1,091,507.98

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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.