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Finding the Third Proportional to 258,168 and 559,239

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Solution

The third proportional to 258,168 and 559,239 is: 1,211,413.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,168 : 559,239 = 559,239 : x
  2. Step 2: Convert to fraction form
    258,168/559,239 = 559,239/x
  3. Step 3: Cross multiply
    258,168x = 559,239 × 559,239
  4. Step 4: Simplify right side
    258,168x = 312,748,259,121
  5. Step 5: Solve for x
    x = 312,748,259,121/258,168
  6. Step 6: Final answer
    x = 1,211,413.73

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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.