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Finding the Third Proportional to 355,539.38 and 780,630.75

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Solution

The third proportional to 355,539.38 and 780,630.75 is: 1,713,971.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,539.38 : 780,630.75 = 780,630.75 : x
  2. Step 2: Convert to fraction form
    355,539.38/780,630.75 = 780,630.75/x
  3. Step 3: Cross multiply
    355,539.38x = 780,630.75 × 780,630.75
  4. Step 4: Simplify right side
    355,539.38x = 609,384,367,845.56
  5. Step 5: Solve for x
    x = 609,384,367,845.56/355,539.38
  6. Step 6: Final answer
    x = 1,713,971.53

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.