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Finding the Third Proportional to 174,911 and 386,575

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Solution

The third proportional to 174,911 and 386,575 is: 854,378.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,911 : 386,575 = 386,575 : x
  2. Step 2: Convert to fraction form
    174,911/386,575 = 386,575/x
  3. Step 3: Cross multiply
    174,911x = 386,575 × 386,575
  4. Step 4: Simplify right side
    174,911x = 149,440,230,625
  5. Step 5: Solve for x
    x = 149,440,230,625/174,911
  6. Step 6: Final answer
    x = 854,378.69

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.