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Finding the Third Proportional to 190,388 and 418,138

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Solution

The third proportional to 190,388 and 418,138 is: 918,331.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,388 : 418,138 = 418,138 : x
  2. Step 2: Convert to fraction form
    190,388/418,138 = 418,138/x
  3. Step 3: Cross multiply
    190,388x = 418,138 × 418,138
  4. Step 4: Simplify right side
    190,388x = 174,839,387,044
  5. Step 5: Solve for x
    x = 174,839,387,044/190,388
  6. Step 6: Final answer
    x = 918,331.97

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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.