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Finding the Third Proportional to 258,257 and 559,408

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Solution

The third proportional to 258,257 and 559,408 is: 1,211,728.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,257 : 559,408 = 559,408 : x
  2. Step 2: Convert to fraction form
    258,257/559,408 = 559,408/x
  3. Step 3: Cross multiply
    258,257x = 559,408 × 559,408
  4. Step 4: Simplify right side
    258,257x = 312,937,310,464
  5. Step 5: Solve for x
    x = 312,937,310,464/258,257
  6. Step 6: Final answer
    x = 1,211,728.28

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.