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Finding the Third Proportional to 168,426 and 258,822

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Solution

The third proportional to 168,426 and 258,822 is: 397,734.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,426 : 258,822 = 258,822 : x
  2. Step 2: Convert to fraction form
    168,426/258,822 = 258,822/x
  3. Step 3: Cross multiply
    168,426x = 258,822 × 258,822
  4. Step 4: Simplify right side
    168,426x = 66,988,827,684
  5. Step 5: Solve for x
    x = 66,988,827,684/168,426
  6. Step 6: Final answer
    x = 397,734.48

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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.