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Finding the Third Proportional to 258,216 and 559,314

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Solution

The third proportional to 258,216 and 559,314 is: 1,211,513.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,216 : 559,314 = 559,314 : x
  2. Step 2: Convert to fraction form
    258,216/559,314 = 559,314/x
  3. Step 3: Cross multiply
    258,216x = 559,314 × 559,314
  4. Step 4: Simplify right side
    258,216x = 312,832,150,596
  5. Step 5: Solve for x
    x = 312,832,150,596/258,216
  6. Step 6: Final answer
    x = 1,211,513.43

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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.