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Finding the Third Proportional to 120,367 and 260,803

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Solution

The third proportional to 120,367 and 260,803 is: 565,090.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,367 : 260,803 = 260,803 : x
  2. Step 2: Convert to fraction form
    120,367/260,803 = 260,803/x
  3. Step 3: Cross multiply
    120,367x = 260,803 × 260,803
  4. Step 4: Simplify right side
    120,367x = 68,018,204,809
  5. Step 5: Solve for x
    x = 68,018,204,809/120,367
  6. Step 6: Final answer
    x = 565,090.14

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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.