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Finding the Third Proportional to 550,438 and 775,136

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Solution

The third proportional to 550,438 and 775,136 is: 1,091,559.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    550,438 : 775,136 = 775,136 : x
  2. Step 2: Convert to fraction form
    550,438/775,136 = 775,136/x
  3. Step 3: Cross multiply
    550,438x = 775,136 × 775,136
  4. Step 4: Simplify right side
    550,438x = 600,835,818,496
  5. Step 5: Solve for x
    x = 600,835,818,496/550,438
  6. Step 6: Final answer
    x = 1,091,559.48

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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.