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Finding the Third Proportional to 192,280 and 406,724

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Solution

The third proportional to 192,280 and 406,724 is: 860,330.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,280 : 406,724 = 406,724 : x
  2. Step 2: Convert to fraction form
    192,280/406,724 = 406,724/x
  3. Step 3: Cross multiply
    192,280x = 406,724 × 406,724
  4. Step 4: Simplify right side
    192,280x = 165,424,412,176
  5. Step 5: Solve for x
    x = 165,424,412,176/192,280
  6. Step 6: Final answer
    x = 860,330.83

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.