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Finding the Third Proportional to 181,160 and 393,485

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Solution

The third proportional to 181,160 and 393,485 is: 854,661.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,160 : 393,485 = 393,485 : x
  2. Step 2: Convert to fraction form
    181,160/393,485 = 393,485/x
  3. Step 3: Cross multiply
    181,160x = 393,485 × 393,485
  4. Step 4: Simplify right side
    181,160x = 154,830,445,225
  5. Step 5: Solve for x
    x = 154,830,445,225/181,160
  6. Step 6: Final answer
    x = 854,661.32

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.