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Finding the Third Proportional to 298,832 and 647,440

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Solution

The third proportional to 298,832 and 647,440 is: 1,402,723.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,832 : 647,440 = 647,440 : x
  2. Step 2: Convert to fraction form
    298,832/647,440 = 647,440/x
  3. Step 3: Cross multiply
    298,832x = 647,440 × 647,440
  4. Step 4: Simplify right side
    298,832x = 419,178,553,600
  5. Step 5: Solve for x
    x = 419,178,553,600/298,832
  6. Step 6: Final answer
    x = 1,402,723.11

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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.