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Finding the Third Proportional to 120,537 and 259,213

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Solution

The third proportional to 120,537 and 259,213 is: 557,433.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,537 : 259,213 = 259,213 : x
  2. Step 2: Convert to fraction form
    120,537/259,213 = 259,213/x
  3. Step 3: Cross multiply
    120,537x = 259,213 × 259,213
  4. Step 4: Simplify right side
    120,537x = 67,191,379,369
  5. Step 5: Solve for x
    x = 67,191,379,369/120,537
  6. Step 6: Final answer
    x = 557,433.65

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.