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Finding the Third Proportional to 258,032 and 398,714

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Solution

The third proportional to 258,032 and 398,714 is: 616,097.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,032 : 398,714 = 398,714 : x
  2. Step 2: Convert to fraction form
    258,032/398,714 = 398,714/x
  3. Step 3: Cross multiply
    258,032x = 398,714 × 398,714
  4. Step 4: Simplify right side
    258,032x = 158,972,853,796
  5. Step 5: Solve for x
    x = 158,972,853,796/258,032
  6. Step 6: Final answer
    x = 616,097.44

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.