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Finding the Third Proportional to 258,044 and 398,573

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Solution

The third proportional to 258,044 and 398,573 is: 615,633.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,044 : 398,573 = 398,573 : x
  2. Step 2: Convert to fraction form
    258,044/398,573 = 398,573/x
  3. Step 3: Cross multiply
    258,044x = 398,573 × 398,573
  4. Step 4: Simplify right side
    258,044x = 158,860,436,329
  5. Step 5: Solve for x
    x = 158,860,436,329/258,044
  6. Step 6: Final answer
    x = 615,633.13

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.