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Finding the Third Proportional to 78,314 and 171,937

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Solution

The third proportional to 78,314 and 171,937 is: 377,484.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,314 : 171,937 = 171,937 : x
  2. Step 2: Convert to fraction form
    78,314/171,937 = 171,937/x
  3. Step 3: Cross multiply
    78,314x = 171,937 × 171,937
  4. Step 4: Simplify right side
    78,314x = 29,562,331,969
  5. Step 5: Solve for x
    x = 29,562,331,969/78,314
  6. Step 6: Final answer
    x = 377,484.64

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.