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Finding the Third Proportional to 183,270 and 389,706

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Solution

The third proportional to 183,270 and 389,706 is: 828,672.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,270 : 389,706 = 389,706 : x
  2. Step 2: Convert to fraction form
    183,270/389,706 = 389,706/x
  3. Step 3: Cross multiply
    183,270x = 389,706 × 389,706
  4. Step 4: Simplify right side
    183,270x = 151,870,766,436
  5. Step 5: Solve for x
    x = 151,870,766,436/183,270
  6. Step 6: Final answer
    x = 828,672.27

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.