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Finding the Third Proportional to 354,390.75 and 777,672.75

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Solution

The third proportional to 354,390.75 and 777,672.75 is: 1,706,520.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,390.75 : 777,672.75 = 777,672.75 : x
  2. Step 2: Convert to fraction form
    354,390.75/777,672.75 = 777,672.75/x
  3. Step 3: Cross multiply
    354,390.75x = 777,672.75 × 777,672.75
  4. Step 4: Simplify right side
    354,390.75x = 604,774,906,092.56
  5. Step 5: Solve for x
    x = 604,774,906,092.56/354,390.75
  6. Step 6: Final answer
    x = 1,706,520.01

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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.