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Finding the Third Proportional to 120,429 and 254,425

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Solution

The third proportional to 120,429 and 254,425 is: 537,512.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,429 : 254,425 = 254,425 : x
  2. Step 2: Convert to fraction form
    120,429/254,425 = 254,425/x
  3. Step 3: Cross multiply
    120,429x = 254,425 × 254,425
  4. Step 4: Simplify right side
    120,429x = 64,732,080,625
  5. Step 5: Solve for x
    x = 64,732,080,625/120,429
  6. Step 6: Final answer
    x = 537,512.40

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.