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Finding the Third Proportional to 231,315.75 and 355,995

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Solution

The third proportional to 231,315.75 and 355,995 is: 547,876.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,315.75 : 355,995 = 355,995 : x
  2. Step 2: Convert to fraction form
    231,315.75/355,995 = 355,995/x
  3. Step 3: Cross multiply
    231,315.75x = 355,995 × 355,995
  4. Step 4: Simplify right side
    231,315.75x = 126,732,440,025
  5. Step 5: Solve for x
    x = 126,732,440,025/231,315.75
  6. Step 6: Final answer
    x = 547,876.40

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.