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Finding the Third Proportional to 181,009 and 390,098

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Solution

The third proportional to 181,009 and 390,098 is: 840,712.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,009 : 390,098 = 390,098 : x
  2. Step 2: Convert to fraction form
    181,009/390,098 = 390,098/x
  3. Step 3: Cross multiply
    181,009x = 390,098 × 390,098
  4. Step 4: Simplify right side
    181,009x = 152,176,449,604
  5. Step 5: Solve for x
    x = 152,176,449,604/181,009
  6. Step 6: Final answer
    x = 840,712.06

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.