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Finding the Third Proportional to 333,543.56 and 731,364.75

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Solution

The third proportional to 333,543.56 and 731,364.75 is: 1,603,671.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,543.56 : 731,364.75 = 731,364.75 : x
  2. Step 2: Convert to fraction form
    333,543.56/731,364.75 = 731,364.75/x
  3. Step 3: Cross multiply
    333,543.56x = 731,364.75 × 731,364.75
  4. Step 4: Simplify right side
    333,543.56x = 534,894,397,542.56
  5. Step 5: Solve for x
    x = 534,894,397,542.56/333,543.56
  6. Step 6: Final answer
    x = 1,603,671.78

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.