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Finding the Third Proportional to 203,390 and 423,614

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Solution

The third proportional to 203,390 and 423,614 is: 882,289.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,390 : 423,614 = 423,614 : x
  2. Step 2: Convert to fraction form
    203,390/423,614 = 423,614/x
  3. Step 3: Cross multiply
    203,390x = 423,614 × 423,614
  4. Step 4: Simplify right side
    203,390x = 179,448,820,996
  5. Step 5: Solve for x
    x = 179,448,820,996/203,390
  6. Step 6: Final answer
    x = 882,289.30

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.