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Finding the Third Proportional to 298,938.75 and 453,944.25

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Solution

The third proportional to 298,938.75 and 453,944.25 is: 689,323.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,938.75 : 453,944.25 = 453,944.25 : x
  2. Step 2: Convert to fraction form
    298,938.75/453,944.25 = 453,944.25/x
  3. Step 3: Cross multiply
    298,938.75x = 453,944.25 × 453,944.25
  4. Step 4: Simplify right side
    298,938.75x = 206,065,382,108.06
  5. Step 5: Solve for x
    x = 206,065,382,108.06/298,938.75
  6. Step 6: Final answer
    x = 689,323.09

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.