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Finding the Third Proportional to 177,760 and 390,096

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Solution

The third proportional to 177,760 and 390,096 is: 856,069.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,760 : 390,096 = 390,096 : x
  2. Step 2: Convert to fraction form
    177,760/390,096 = 390,096/x
  3. Step 3: Cross multiply
    177,760x = 390,096 × 390,096
  4. Step 4: Simplify right side
    177,760x = 152,174,889,216
  5. Step 5: Solve for x
    x = 152,174,889,216/177,760
  6. Step 6: Final answer
    x = 856,069.36

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.