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Finding the Third Proportional to 389,314 and 844,724

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Solution

The third proportional to 389,314 and 844,724 is: 1,832,861.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,314 : 844,724 = 844,724 : x
  2. Step 2: Convert to fraction form
    389,314/844,724 = 844,724/x
  3. Step 3: Cross multiply
    389,314x = 844,724 × 844,724
  4. Step 4: Simplify right side
    389,314x = 713,558,636,176
  5. Step 5: Solve for x
    x = 713,558,636,176/389,314
  6. Step 6: Final answer
    x = 1,832,861.49

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.