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Finding the Third Proportional to 311,138 and 480,447

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Solution

The third proportional to 311,138 and 480,447 is: 741,887.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,138 : 480,447 = 480,447 : x
  2. Step 2: Convert to fraction form
    311,138/480,447 = 480,447/x
  3. Step 3: Cross multiply
    311,138x = 480,447 × 480,447
  4. Step 4: Simplify right side
    311,138x = 230,829,319,809
  5. Step 5: Solve for x
    x = 230,829,319,809/311,138
  6. Step 6: Final answer
    x = 741,887.26

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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.