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Finding the Third Proportional to 181,284 and 392,700

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Solution

The third proportional to 181,284 and 392,700 is: 850,672.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,284 : 392,700 = 392,700 : x
  2. Step 2: Convert to fraction form
    181,284/392,700 = 392,700/x
  3. Step 3: Cross multiply
    181,284x = 392,700 × 392,700
  4. Step 4: Simplify right side
    181,284x = 154,213,290,000
  5. Step 5: Solve for x
    x = 154,213,290,000/181,284
  6. Step 6: Final answer
    x = 850,672.37

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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.