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Finding the Third Proportional to 311,510 and 488,024

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Solution

The third proportional to 311,510 and 488,024 is: 764,557.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,510 : 488,024 = 488,024 : x
  2. Step 2: Convert to fraction form
    311,510/488,024 = 488,024/x
  3. Step 3: Cross multiply
    311,510x = 488,024 × 488,024
  4. Step 4: Simplify right side
    311,510x = 238,167,424,576
  5. Step 5: Solve for x
    x = 238,167,424,576/311,510
  6. Step 6: Final answer
    x = 764,557.88

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.