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Finding the Third Proportional to 120,476 and 254,515

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Solution

The third proportional to 120,476 and 254,515 is: 537,682.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,476 : 254,515 = 254,515 : x
  2. Step 2: Convert to fraction form
    120,476/254,515 = 254,515/x
  3. Step 3: Cross multiply
    120,476x = 254,515 × 254,515
  4. Step 4: Simplify right side
    120,476x = 64,777,885,225
  5. Step 5: Solve for x
    x = 64,777,885,225/120,476
  6. Step 6: Final answer
    x = 537,682.90

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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.