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Finding the Third Proportional to 550,438.50 and 775,142.06

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Solution

The third proportional to 550,438.50 and 775,142.06 is: 1,091,575.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    550,438.50 : 775,142.06 = 775,142.06 : x
  2. Step 2: Convert to fraction form
    550,438.50/775,142.06 = 775,142.06/x
  3. Step 3: Cross multiply
    550,438.50x = 775,142.06 × 775,142.06
  4. Step 4: Simplify right side
    550,438.50x = 600,845,217,056.75
  5. Step 5: Solve for x
    x = 600,845,217,056.75/550,438.50
  6. Step 6: Final answer
    x = 1,091,575.57

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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.