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Finding the Third Proportional to 177,595 and 390,181

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Solution

The third proportional to 177,595 and 390,181 is: 857,238.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,595 : 390,181 = 390,181 : x
  2. Step 2: Convert to fraction form
    177,595/390,181 = 390,181/x
  3. Step 3: Cross multiply
    177,595x = 390,181 × 390,181
  4. Step 4: Simplify right side
    177,595x = 152,241,212,761
  5. Step 5: Solve for x
    x = 152,241,212,761/177,595
  6. Step 6: Final answer
    x = 857,238.17

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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.