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Finding the Third Proportional to 120,739.50 and 262,236

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Solution

The third proportional to 120,739.50 and 262,236 is: 569,554.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,739.50 : 262,236 = 262,236 : x
  2. Step 2: Convert to fraction form
    120,739.50/262,236 = 262,236/x
  3. Step 3: Cross multiply
    120,739.50x = 262,236 × 262,236
  4. Step 4: Simplify right side
    120,739.50x = 68,767,719,696
  5. Step 5: Solve for x
    x = 68,767,719,696/120,739.50
  6. Step 6: Final answer
    x = 569,554.45

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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.