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Finding the Third Proportional to 389,316 and 839,400

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Solution

The third proportional to 389,316 and 839,400 is: 1,809,821.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,316 : 839,400 = 839,400 : x
  2. Step 2: Convert to fraction form
    389,316/839,400 = 839,400/x
  3. Step 3: Cross multiply
    389,316x = 839,400 × 839,400
  4. Step 4: Simplify right side
    389,316x = 704,592,360,000
  5. Step 5: Solve for x
    x = 704,592,360,000/389,316
  6. Step 6: Final answer
    x = 1,809,821.22

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.