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Finding the Third Proportional to 298,514 and 653,728

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Solution

The third proportional to 298,514 and 653,728 is: 1,431,625.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,514 : 653,728 = 653,728 : x
  2. Step 2: Convert to fraction form
    298,514/653,728 = 653,728/x
  3. Step 3: Cross multiply
    298,514x = 653,728 × 653,728
  4. Step 4: Simplify right side
    298,514x = 427,360,297,984
  5. Step 5: Solve for x
    x = 427,360,297,984/298,514
  6. Step 6: Final answer
    x = 1,431,625.65

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.