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Finding the Third Proportional to 258,752 and 392,512

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Solution

The third proportional to 258,752 and 392,512 is: 595,418.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,752 : 392,512 = 392,512 : x
  2. Step 2: Convert to fraction form
    258,752/392,512 = 392,512/x
  3. Step 3: Cross multiply
    258,752x = 392,512 × 392,512
  4. Step 4: Simplify right side
    258,752x = 154,065,670,144
  5. Step 5: Solve for x
    x = 154,065,670,144/258,752
  6. Step 6: Final answer
    x = 595,418.28

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.