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Finding the Third Proportional to 181,556 and 397,564

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Solution

The third proportional to 181,556 and 397,564 is: 870,569.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,556 : 397,564 = 397,564 : x
  2. Step 2: Convert to fraction form
    181,556/397,564 = 397,564/x
  3. Step 3: Cross multiply
    181,556x = 397,564 × 397,564
  4. Step 4: Simplify right side
    181,556x = 158,057,134,096
  5. Step 5: Solve for x
    x = 158,057,134,096/181,556
  6. Step 6: Final answer
    x = 870,569.60

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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.