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Finding the Third Proportional to 172,926 and 258,291

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Solution

The third proportional to 172,926 and 258,291 is: 385,796.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,926 : 258,291 = 258,291 : x
  2. Step 2: Convert to fraction form
    172,926/258,291 = 258,291/x
  3. Step 3: Cross multiply
    172,926x = 258,291 × 258,291
  4. Step 4: Simplify right side
    172,926x = 66,714,240,681
  5. Step 5: Solve for x
    x = 66,714,240,681/172,926
  6. Step 6: Final answer
    x = 385,796.47

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.