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Finding the Third Proportional to 120,420 and 262,289

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Solution

The third proportional to 120,420 and 262,289 is: 571,296.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,420 : 262,289 = 262,289 : x
  2. Step 2: Convert to fraction form
    120,420/262,289 = 262,289/x
  3. Step 3: Cross multiply
    120,420x = 262,289 × 262,289
  4. Step 4: Simplify right side
    120,420x = 68,795,519,521
  5. Step 5: Solve for x
    x = 68,795,519,521/120,420
  6. Step 6: Final answer
    x = 571,296.46

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.