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Finding the Third Proportional to 236,385 and 505,989

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Solution

The third proportional to 236,385 and 505,989 is: 1,083,084.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,385 : 505,989 = 505,989 : x
  2. Step 2: Convert to fraction form
    236,385/505,989 = 505,989/x
  3. Step 3: Cross multiply
    236,385x = 505,989 × 505,989
  4. Step 4: Simplify right side
    236,385x = 256,024,868,121
  5. Step 5: Solve for x
    x = 256,024,868,121/236,385
  6. Step 6: Final answer
    x = 1,083,084.24

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.