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Finding the Third Proportional to 171,921 and 373,731

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Solution

The third proportional to 171,921 and 373,731 is: 812,436.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,921 : 373,731 = 373,731 : x
  2. Step 2: Convert to fraction form
    171,921/373,731 = 373,731/x
  3. Step 3: Cross multiply
    171,921x = 373,731 × 373,731
  4. Step 4: Simplify right side
    171,921x = 139,674,860,361
  5. Step 5: Solve for x
    x = 139,674,860,361/171,921
  6. Step 6: Final answer
    x = 812,436.30

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.