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Finding the Third Proportional to 120,871 and 262,505

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Solution

The third proportional to 120,871 and 262,505 is: 570,102.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,871 : 262,505 = 262,505 : x
  2. Step 2: Convert to fraction form
    120,871/262,505 = 262,505/x
  3. Step 3: Cross multiply
    120,871x = 262,505 × 262,505
  4. Step 4: Simplify right side
    120,871x = 68,908,875,025
  5. Step 5: Solve for x
    x = 68,908,875,025/120,871
  6. Step 6: Final answer
    x = 570,102.63

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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.