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Finding the Third Proportional to 73,729 and 173,317

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Solution

The third proportional to 73,729 and 173,317 is: 407,421.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,729 : 173,317 = 173,317 : x
  2. Step 2: Convert to fraction form
    73,729/173,317 = 173,317/x
  3. Step 3: Cross multiply
    73,729x = 173,317 × 173,317
  4. Step 4: Simplify right side
    73,729x = 30,038,782,489
  5. Step 5: Solve for x
    x = 30,038,782,489/73,729
  6. Step 6: Final answer
    x = 407,421.54

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.