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Finding the Third Proportional to 177,901 and 390,793

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Solution

The third proportional to 177,901 and 390,793 is: 858,450.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,901 : 390,793 = 390,793 : x
  2. Step 2: Convert to fraction form
    177,901/390,793 = 390,793/x
  3. Step 3: Cross multiply
    177,901x = 390,793 × 390,793
  4. Step 4: Simplify right side
    177,901x = 152,719,168,849
  5. Step 5: Solve for x
    x = 152,719,168,849/177,901
  6. Step 6: Final answer
    x = 858,450.31

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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.