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Finding the Third Proportional to 301,218 and 451,840.50

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Solution

The third proportional to 301,218 and 451,840.50 is: 677,781.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,218 : 451,840.50 = 451,840.50 : x
  2. Step 2: Convert to fraction form
    301,218/451,840.50 = 451,840.50/x
  3. Step 3: Cross multiply
    301,218x = 451,840.50 × 451,840.50
  4. Step 4: Simplify right side
    301,218x = 204,159,837,440.25
  5. Step 5: Solve for x
    x = 204,159,837,440.25/301,218
  6. Step 6: Final answer
    x = 677,781.00

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.