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Finding the Third Proportional to 246,018 and 401,728

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Solution

The third proportional to 246,018 and 401,728 is: 655,990.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    246,018 : 401,728 = 401,728 : x
  2. Step 2: Convert to fraction form
    246,018/401,728 = 401,728/x
  3. Step 3: Cross multiply
    246,018x = 401,728 × 401,728
  4. Step 4: Simplify right side
    246,018x = 161,385,385,984
  5. Step 5: Solve for x
    x = 161,385,385,984/246,018
  6. Step 6: Final answer
    x = 655,990.16

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.