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Finding the Third Proportional to 311,136 and 480,444

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Solution

The third proportional to 311,136 and 480,444 is: 741,882.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,136 : 480,444 = 480,444 : x
  2. Step 2: Convert to fraction form
    311,136/480,444 = 480,444/x
  3. Step 3: Cross multiply
    311,136x = 480,444 × 480,444
  4. Step 4: Simplify right side
    311,136x = 230,826,437,136
  5. Step 5: Solve for x
    x = 230,826,437,136/311,136
  6. Step 6: Final answer
    x = 741,882.77

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.