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Finding the Third Proportional to 208,311.75 and 453,460.78

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Solution

The third proportional to 208,311.75 and 453,460.78 is: 987,110.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,311.75 : 453,460.78 = 453,460.78 : x
  2. Step 2: Convert to fraction form
    208,311.75/453,460.78 = 453,460.78/x
  3. Step 3: Cross multiply
    208,311.75x = 453,460.78 × 453,460.78
  4. Step 4: Simplify right side
    208,311.75x = 205,626,680,131.86
  5. Step 5: Solve for x
    x = 205,626,680,131.86/208,311.75
  6. Step 6: Final answer
    x = 987,110.33

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.