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Finding the Third Proportional to 78,064 and 171,679

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Solution

The third proportional to 78,064 and 171,679 is: 377,557.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,064 : 171,679 = 171,679 : x
  2. Step 2: Convert to fraction form
    78,064/171,679 = 171,679/x
  3. Step 3: Cross multiply
    78,064x = 171,679 × 171,679
  4. Step 4: Simplify right side
    78,064x = 29,473,679,041
  5. Step 5: Solve for x
    x = 29,473,679,041/78,064
  6. Step 6: Final answer
    x = 377,557.89

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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.