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Finding the Third Proportional to 233,836 and 505,040

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Solution

The third proportional to 233,836 and 505,040 is: 1,090,787.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,836 : 505,040 = 505,040 : x
  2. Step 2: Convert to fraction form
    233,836/505,040 = 505,040/x
  3. Step 3: Cross multiply
    233,836x = 505,040 × 505,040
  4. Step 4: Simplify right side
    233,836x = 255,065,401,600
  5. Step 5: Solve for x
    x = 255,065,401,600/233,836
  6. Step 6: Final answer
    x = 1,090,787.57

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.