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Finding the Third Proportional to 120,784 and 260,036

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Solution

The third proportional to 120,784 and 260,036 is: 559,831.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,784 : 260,036 = 260,036 : x
  2. Step 2: Convert to fraction form
    120,784/260,036 = 260,036/x
  3. Step 3: Cross multiply
    120,784x = 260,036 × 260,036
  4. Step 4: Simplify right side
    120,784x = 67,618,721,296
  5. Step 5: Solve for x
    x = 67,618,721,296/120,784
  6. Step 6: Final answer
    x = 559,831.78

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.