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Finding the Third Proportional to 298,237.50 and 451,699.75

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Solution

The third proportional to 298,237.50 and 451,699.75 is: 684,128.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,237.50 : 451,699.75 = 451,699.75 : x
  2. Step 2: Convert to fraction form
    298,237.50/451,699.75 = 451,699.75/x
  3. Step 3: Cross multiply
    298,237.50x = 451,699.75 × 451,699.75
  4. Step 4: Simplify right side
    298,237.50x = 204,032,664,150.06
  5. Step 5: Solve for x
    x = 204,032,664,150.06/298,237.50
  6. Step 6: Final answer
    x = 684,128.13

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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.