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Finding the Third Proportional to 258,812 and 411,544

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Solution

The third proportional to 258,812 and 411,544 is: 654,407.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,812 : 411,544 = 411,544 : x
  2. Step 2: Convert to fraction form
    258,812/411,544 = 411,544/x
  3. Step 3: Cross multiply
    258,812x = 411,544 × 411,544
  4. Step 4: Simplify right side
    258,812x = 169,368,463,936
  5. Step 5: Solve for x
    x = 169,368,463,936/258,812
  6. Step 6: Final answer
    x = 654,407.31

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.