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Finding the Third Proportional to 208,284.75 and 315,348.75

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Solution

The third proportional to 208,284.75 and 315,348.75 is: 477,446.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,284.75 : 315,348.75 = 315,348.75 : x
  2. Step 2: Convert to fraction form
    208,284.75/315,348.75 = 315,348.75/x
  3. Step 3: Cross multiply
    208,284.75x = 315,348.75 × 315,348.75
  4. Step 4: Simplify right side
    208,284.75x = 99,444,834,126.56
  5. Step 5: Solve for x
    x = 99,444,834,126.56/208,284.75
  6. Step 6: Final answer
    x = 477,446.54

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.