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Finding the Third Proportional to 258,570 and 399,267

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Solution

The third proportional to 258,570 and 399,267 is: 616,522.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,570 : 399,267 = 399,267 : x
  2. Step 2: Convert to fraction form
    258,570/399,267 = 399,267/x
  3. Step 3: Cross multiply
    258,570x = 399,267 × 399,267
  4. Step 4: Simplify right side
    258,570x = 159,414,137,289
  5. Step 5: Solve for x
    x = 159,414,137,289/258,570
  6. Step 6: Final answer
    x = 616,522.17

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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.