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Finding the Third Proportional to 318,576 and 471,828

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Solution

The third proportional to 318,576 and 471,828 is: 698,802.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,576 : 471,828 = 471,828 : x
  2. Step 2: Convert to fraction form
    318,576/471,828 = 471,828/x
  3. Step 3: Cross multiply
    318,576x = 471,828 × 471,828
  4. Step 4: Simplify right side
    318,576x = 222,621,661,584
  5. Step 5: Solve for x
    x = 222,621,661,584/318,576
  6. Step 6: Final answer
    x = 698,802.36

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.