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Finding the Third Proportional to 120,417 and 263,670

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Solution

The third proportional to 120,417 and 263,670 is: 577,342.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,417 : 263,670 = 263,670 : x
  2. Step 2: Convert to fraction form
    120,417/263,670 = 263,670/x
  3. Step 3: Cross multiply
    120,417x = 263,670 × 263,670
  4. Step 4: Simplify right side
    120,417x = 69,521,868,900
  5. Step 5: Solve for x
    x = 69,521,868,900/120,417
  6. Step 6: Final answer
    x = 577,342.64

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.