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Finding the Third Proportional to 298,278 and 647,370

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Solution

The third proportional to 298,278 and 647,370 is: 1,405,024.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,278 : 647,370 = 647,370 : x
  2. Step 2: Convert to fraction form
    298,278/647,370 = 647,370/x
  3. Step 3: Cross multiply
    298,278x = 647,370 × 647,370
  4. Step 4: Simplify right side
    298,278x = 419,087,916,900
  5. Step 5: Solve for x
    x = 419,087,916,900/298,278
  6. Step 6: Final answer
    x = 1,405,024.56

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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.