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Finding the Third Proportional to 190,980 and 420,081

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Solution

The third proportional to 190,980 and 420,081 is: 924,013.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,980 : 420,081 = 420,081 : x
  2. Step 2: Convert to fraction form
    190,980/420,081 = 420,081/x
  3. Step 3: Cross multiply
    190,980x = 420,081 × 420,081
  4. Step 4: Simplify right side
    190,980x = 176,468,046,561
  5. Step 5: Solve for x
    x = 176,468,046,561/190,980
  6. Step 6: Final answer
    x = 924,013.23

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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.