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Finding the Third Proportional to 258,118 and 557,748

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Solution

The third proportional to 258,118 and 557,748 is: 1,205,196.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,118 : 557,748 = 557,748 : x
  2. Step 2: Convert to fraction form
    258,118/557,748 = 557,748/x
  3. Step 3: Cross multiply
    258,118x = 557,748 × 557,748
  4. Step 4: Simplify right side
    258,118x = 311,082,831,504
  5. Step 5: Solve for x
    x = 311,082,831,504/258,118
  6. Step 6: Final answer
    x = 1,205,196.20

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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.