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Finding the Third Proportional to 233,833 and 505,034

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Solution

The third proportional to 233,833 and 505,034 is: 1,090,775.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,833 : 505,034 = 505,034 : x
  2. Step 2: Convert to fraction form
    233,833/505,034 = 505,034/x
  3. Step 3: Cross multiply
    233,833x = 505,034 × 505,034
  4. Step 4: Simplify right side
    233,833x = 255,059,341,156
  5. Step 5: Solve for x
    x = 255,059,341,156/233,833
  6. Step 6: Final answer
    x = 1,090,775.64

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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.