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Finding the Third Proportional to 120,920 and 262,549

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Solution

The third proportional to 120,920 and 262,549 is: 570,062.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,920 : 262,549 = 262,549 : x
  2. Step 2: Convert to fraction form
    120,920/262,549 = 262,549/x
  3. Step 3: Cross multiply
    120,920x = 262,549 × 262,549
  4. Step 4: Simplify right side
    120,920x = 68,931,977,401
  5. Step 5: Solve for x
    x = 68,931,977,401/120,920
  6. Step 6: Final answer
    x = 570,062.66

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.