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Finding the Third Proportional to 261,636.75 and 355,078.88

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Solution

The third proportional to 261,636.75 and 355,078.88 is: 481,893.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,636.75 : 355,078.88 = 355,078.88 : x
  2. Step 2: Convert to fraction form
    261,636.75/355,078.88 = 355,078.88/x
  3. Step 3: Cross multiply
    261,636.75x = 355,078.88 × 355,078.88
  4. Step 4: Simplify right side
    261,636.75x = 126,081,007,471.27
  5. Step 5: Solve for x
    x = 126,081,007,471.27/261,636.75
  6. Step 6: Final answer
    x = 481,893.34

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.