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Finding the Third Proportional to 298,904 and 645,027

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Solution

The third proportional to 298,904 and 645,027 is: 1,391,951.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,904 : 645,027 = 645,027 : x
  2. Step 2: Convert to fraction form
    298,904/645,027 = 645,027/x
  3. Step 3: Cross multiply
    298,904x = 645,027 × 645,027
  4. Step 4: Simplify right side
    298,904x = 416,059,830,729
  5. Step 5: Solve for x
    x = 416,059,830,729/298,904
  6. Step 6: Final answer
    x = 1,391,951.36

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.