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Finding the Third Proportional to 315,893.25 and 451,730.25

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Solution

The third proportional to 315,893.25 and 451,730.25 is: 645,978.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,893.25 : 451,730.25 = 451,730.25 : x
  2. Step 2: Convert to fraction form
    315,893.25/451,730.25 = 451,730.25/x
  3. Step 3: Cross multiply
    315,893.25x = 451,730.25 × 451,730.25
  4. Step 4: Simplify right side
    315,893.25x = 204,060,218,765.06
  5. Step 5: Solve for x
    x = 204,060,218,765.06/315,893.25
  6. Step 6: Final answer
    x = 645,978.41

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.