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Finding the Third Proportional to 258,592 and 399,408

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Solution

The third proportional to 258,592 and 399,408 is: 616,905.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,592 : 399,408 = 399,408 : x
  2. Step 2: Convert to fraction form
    258,592/399,408 = 399,408/x
  3. Step 3: Cross multiply
    258,592x = 399,408 × 399,408
  4. Step 4: Simplify right side
    258,592x = 159,526,750,464
  5. Step 5: Solve for x
    x = 159,526,750,464/258,592
  6. Step 6: Final answer
    x = 616,905.20

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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.