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Finding the Third Proportional to 298,216 and 640,928

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Solution

The third proportional to 298,216 and 640,928 is: 1,377,487.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,216 : 640,928 = 640,928 : x
  2. Step 2: Convert to fraction form
    298,216/640,928 = 640,928/x
  3. Step 3: Cross multiply
    298,216x = 640,928 × 640,928
  4. Step 4: Simplify right side
    298,216x = 410,788,701,184
  5. Step 5: Solve for x
    x = 410,788,701,184/298,216
  6. Step 6: Final answer
    x = 1,377,487.13

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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.