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Finding the Third Proportional to 297,765 and 649,080

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Solution

The third proportional to 297,765 and 649,080 is: 1,414,890.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,765 : 649,080 = 649,080 : x
  2. Step 2: Convert to fraction form
    297,765/649,080 = 649,080/x
  3. Step 3: Cross multiply
    297,765x = 649,080 × 649,080
  4. Step 4: Simplify right side
    297,765x = 421,304,846,400
  5. Step 5: Solve for x
    x = 421,304,846,400/297,765
  6. Step 6: Final answer
    x = 1,414,890.42

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.