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Finding the Third Proportional to 298,213 and 640,921

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Solution

The third proportional to 298,213 and 640,921 is: 1,377,470.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,213 : 640,921 = 640,921 : x
  2. Step 2: Convert to fraction form
    298,213/640,921 = 640,921/x
  3. Step 3: Cross multiply
    298,213x = 640,921 × 640,921
  4. Step 4: Simplify right side
    298,213x = 410,779,728,241
  5. Step 5: Solve for x
    x = 410,779,728,241/298,213
  6. Step 6: Final answer
    x = 1,377,470.90

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.