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Finding the Third Proportional to 298,297 and 581,474

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Solution

The third proportional to 298,297 and 581,474 is: 1,133,474.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,297 : 581,474 = 581,474 : x
  2. Step 2: Convert to fraction form
    298,297/581,474 = 581,474/x
  3. Step 3: Cross multiply
    298,297x = 581,474 × 581,474
  4. Step 4: Simplify right side
    298,297x = 338,112,012,676
  5. Step 5: Solve for x
    x = 338,112,012,676/298,297
  6. Step 6: Final answer
    x = 1,133,474.40

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.