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Finding the Third Proportional to 177,042 and 389,076

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Solution

The third proportional to 177,042 and 389,076 is: 855,052.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,042 : 389,076 = 389,076 : x
  2. Step 2: Convert to fraction form
    177,042/389,076 = 389,076/x
  3. Step 3: Cross multiply
    177,042x = 389,076 × 389,076
  4. Step 4: Simplify right side
    177,042x = 151,380,133,776
  5. Step 5: Solve for x
    x = 151,380,133,776/177,042
  6. Step 6: Final answer
    x = 855,052.10

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.