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Finding the Third Proportional to 298,275 and 647,364

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Solution

The third proportional to 298,275 and 647,364 is: 1,405,012.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,275 : 647,364 = 647,364 : x
  2. Step 2: Convert to fraction form
    298,275/647,364 = 647,364/x
  3. Step 3: Cross multiply
    298,275x = 647,364 × 647,364
  4. Step 4: Simplify right side
    298,275x = 419,080,148,496
  5. Step 5: Solve for x
    x = 419,080,148,496/298,275
  6. Step 6: Final answer
    x = 1,405,012.65

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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.