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Finding the Third Proportional to 190,692 and 418,724

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Solution

The third proportional to 190,692 and 418,724 is: 919,439.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,692 : 418,724 = 418,724 : x
  2. Step 2: Convert to fraction form
    190,692/418,724 = 418,724/x
  3. Step 3: Cross multiply
    190,692x = 418,724 × 418,724
  4. Step 4: Simplify right side
    190,692x = 175,329,788,176
  5. Step 5: Solve for x
    x = 175,329,788,176/190,692
  6. Step 6: Final answer
    x = 919,439.66

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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.