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Finding the Third Proportional to 402,843 and 545,172.75

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Solution

The third proportional to 402,843 and 545,172.75 is: 737,789.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,843 : 545,172.75 = 545,172.75 : x
  2. Step 2: Convert to fraction form
    402,843/545,172.75 = 545,172.75/x
  3. Step 3: Cross multiply
    402,843x = 545,172.75 × 545,172.75
  4. Step 4: Simplify right side
    402,843x = 297,213,327,342.56
  5. Step 5: Solve for x
    x = 297,213,327,342.56/402,843
  6. Step 6: Final answer
    x = 737,789.48

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.