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Finding the Third Proportional to 208,446.75 and 317,994.19

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Solution

The third proportional to 208,446.75 and 317,994.19 is: 485,113.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,446.75 : 317,994.19 = 317,994.19 : x
  2. Step 2: Convert to fraction form
    208,446.75/317,994.19 = 317,994.19/x
  3. Step 3: Cross multiply
    208,446.75x = 317,994.19 × 317,994.19
  4. Step 4: Simplify right side
    208,446.75x = 101,120,303,283.79
  5. Step 5: Solve for x
    x = 101,120,303,283.79/208,446.75
  6. Step 6: Final answer
    x = 485,113.36

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.