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Finding the Third Proportional to 318,912 and 459,504

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Solution

The third proportional to 318,912 and 459,504 is: 662,075.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,912 : 459,504 = 459,504 : x
  2. Step 2: Convert to fraction form
    318,912/459,504 = 459,504/x
  3. Step 3: Cross multiply
    318,912x = 459,504 × 459,504
  4. Step 4: Simplify right side
    318,912x = 211,143,926,016
  5. Step 5: Solve for x
    x = 211,143,926,016/318,912
  6. Step 6: Final answer
    x = 662,075.83

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.