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Finding the Third Proportional to 380,938 and 829,604

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Solution

The third proportional to 380,938 and 829,604 is: 1,806,705.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,938 : 829,604 = 829,604 : x
  2. Step 2: Convert to fraction form
    380,938/829,604 = 829,604/x
  3. Step 3: Cross multiply
    380,938x = 829,604 × 829,604
  4. Step 4: Simplify right side
    380,938x = 688,242,796,816
  5. Step 5: Solve for x
    x = 688,242,796,816/380,938
  6. Step 6: Final answer
    x = 1,806,705.54

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.