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Finding the Third Proportional to 397,985 and 612,462

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Solution

The third proportional to 397,985 and 612,462 is: 942,522.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,985 : 612,462 = 612,462 : x
  2. Step 2: Convert to fraction form
    397,985/612,462 = 612,462/x
  3. Step 3: Cross multiply
    397,985x = 612,462 × 612,462
  4. Step 4: Simplify right side
    397,985x = 375,109,701,444
  5. Step 5: Solve for x
    x = 375,109,701,444/397,985
  6. Step 6: Final answer
    x = 942,522.21

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.