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Finding the Third Proportional to 297,975 and 646,745

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Solution

The third proportional to 297,975 and 646,745 is: 1,403,738.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,975 : 646,745 = 646,745 : x
  2. Step 2: Convert to fraction form
    297,975/646,745 = 646,745/x
  3. Step 3: Cross multiply
    297,975x = 646,745 × 646,745
  4. Step 4: Simplify right side
    297,975x = 418,279,095,025
  5. Step 5: Solve for x
    x = 418,279,095,025/297,975
  6. Step 6: Final answer
    x = 1,403,738.89

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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.