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Finding the Third Proportional to 172,692 and 385,533

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Solution

The third proportional to 172,692 and 385,533 is: 860,698.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,692 : 385,533 = 385,533 : x
  2. Step 2: Convert to fraction form
    172,692/385,533 = 385,533/x
  3. Step 3: Cross multiply
    172,692x = 385,533 × 385,533
  4. Step 4: Simplify right side
    172,692x = 148,635,694,089
  5. Step 5: Solve for x
    x = 148,635,694,089/172,692
  6. Step 6: Final answer
    x = 860,698.20

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.