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Finding the Third Proportional to 384,966 and 620,217

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Solution

The third proportional to 384,966 and 620,217 is: 999,228.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,966 : 620,217 = 620,217 : x
  2. Step 2: Convert to fraction form
    384,966/620,217 = 620,217/x
  3. Step 3: Cross multiply
    384,966x = 620,217 × 620,217
  4. Step 4: Simplify right side
    384,966x = 384,669,127,089
  5. Step 5: Solve for x
    x = 384,669,127,089/384,966
  6. Step 6: Final answer
    x = 999,228.83

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.