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Finding the Third Proportional to 258,200 and 559,292

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Solution

The third proportional to 258,200 and 559,292 is: 1,211,493.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,200 : 559,292 = 559,292 : x
  2. Step 2: Convert to fraction form
    258,200/559,292 = 559,292/x
  3. Step 3: Cross multiply
    258,200x = 559,292 × 559,292
  4. Step 4: Simplify right side
    258,200x = 312,807,541,264
  5. Step 5: Solve for x
    x = 312,807,541,264/258,200
  6. Step 6: Final answer
    x = 1,211,493.19

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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.