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Finding the Third Proportional to 261,635.91 and 355,077.84

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Solution

The third proportional to 261,635.91 and 355,077.84 is: 481,892.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,635.91 : 355,077.84 = 355,077.84 : x
  2. Step 2: Convert to fraction form
    261,635.91/355,077.84 = 355,077.84/x
  3. Step 3: Cross multiply
    261,635.91x = 355,077.84 × 355,077.84
  4. Step 4: Simplify right side
    261,635.91x = 126,080,275,122.15
  5. Step 5: Solve for x
    x = 126,080,275,122.15/261,635.91
  6. Step 6: Final answer
    x = 481,892.10

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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.