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Finding the Third Proportional to 78,967.50 and 171,057

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Solution

The third proportional to 78,967.50 and 171,057 is: 370,538.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,967.50 : 171,057 = 171,057 : x
  2. Step 2: Convert to fraction form
    78,967.50/171,057 = 171,057/x
  3. Step 3: Cross multiply
    78,967.50x = 171,057 × 171,057
  4. Step 4: Simplify right side
    78,967.50x = 29,260,497,249
  5. Step 5: Solve for x
    x = 29,260,497,249/78,967.50
  6. Step 6: Final answer
    x = 370,538.48

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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.