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Finding the Third Proportional to 298,000.50 and 645,504

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Solution

The third proportional to 298,000.50 and 645,504 is: 1,398,237.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,000.50 : 645,504 = 645,504 : x
  2. Step 2: Convert to fraction form
    298,000.50/645,504 = 645,504/x
  3. Step 3: Cross multiply
    298,000.50x = 645,504 × 645,504
  4. Step 4: Simplify right side
    298,000.50x = 416,675,414,016
  5. Step 5: Solve for x
    x = 416,675,414,016/298,000.50
  6. Step 6: Final answer
    x = 1,398,237.30

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.