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Finding the Third Proportional to 208,638 and 313,955

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Solution

The third proportional to 208,638 and 313,955 is: 472,434.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,638 : 313,955 = 313,955 : x
  2. Step 2: Convert to fraction form
    208,638/313,955 = 313,955/x
  3. Step 3: Cross multiply
    208,638x = 313,955 × 313,955
  4. Step 4: Simplify right side
    208,638x = 98,567,742,025
  5. Step 5: Solve for x
    x = 98,567,742,025/208,638
  6. Step 6: Final answer
    x = 472,434.27

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.