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Finding the Third Proportional to 415,255.50 and 545,265

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Solution

The third proportional to 415,255.50 and 545,265 is: 715,978.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,255.50 : 545,265 = 545,265 : x
  2. Step 2: Convert to fraction form
    415,255.50/545,265 = 545,265/x
  3. Step 3: Cross multiply
    415,255.50x = 545,265 × 545,265
  4. Step 4: Simplify right side
    415,255.50x = 297,313,920,225
  5. Step 5: Solve for x
    x = 297,313,920,225/415,255.50
  6. Step 6: Final answer
    x = 715,978.28

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.