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Finding the Third Proportional to 389,220 and 842,410

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Solution

The third proportional to 389,220 and 842,410 is: 1,823,273.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,220 : 842,410 = 842,410 : x
  2. Step 2: Convert to fraction form
    389,220/842,410 = 842,410/x
  3. Step 3: Cross multiply
    389,220x = 842,410 × 842,410
  4. Step 4: Simplify right side
    389,220x = 709,654,608,100
  5. Step 5: Solve for x
    x = 709,654,608,100/389,220
  6. Step 6: Final answer
    x = 1,823,273.75

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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.