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Finding the Third Proportional to 258,210 and 557,208

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Solution

The third proportional to 258,210 and 557,208 is: 1,202,435.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,210 : 557,208 = 557,208 : x
  2. Step 2: Convert to fraction form
    258,210/557,208 = 557,208/x
  3. Step 3: Cross multiply
    258,210x = 557,208 × 557,208
  4. Step 4: Simplify right side
    258,210x = 310,480,755,264
  5. Step 5: Solve for x
    x = 310,480,755,264/258,210
  6. Step 6: Final answer
    x = 1,202,435.05

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.