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Finding the Third Proportional to 389,936 and 842,080

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Solution

The third proportional to 389,936 and 842,080 is: 1,818,500.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,936 : 842,080 = 842,080 : x
  2. Step 2: Convert to fraction form
    389,936/842,080 = 842,080/x
  3. Step 3: Cross multiply
    389,936x = 842,080 × 842,080
  4. Step 4: Simplify right side
    389,936x = 709,098,726,400
  5. Step 5: Solve for x
    x = 709,098,726,400/389,936
  6. Step 6: Final answer
    x = 1,818,500.28

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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.