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Finding the Third Proportional to 208,129.50 and 426,738.38

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Solution

The third proportional to 208,129.50 and 426,738.38 is: 874,963.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,129.50 : 426,738.38 = 426,738.38 : x
  2. Step 2: Convert to fraction form
    208,129.50/426,738.38 = 426,738.38/x
  3. Step 3: Cross multiply
    208,129.50x = 426,738.38 × 426,738.38
  4. Step 4: Simplify right side
    208,129.50x = 182,105,640,697.64
  5. Step 5: Solve for x
    x = 182,105,640,697.64/208,129.50
  6. Step 6: Final answer
    x = 874,963.14

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.