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Finding the Third Proportional to 345,552.75 and 718,693.50

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Solution

The third proportional to 345,552.75 and 718,693.50 is: 1,494,765.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,552.75 : 718,693.50 = 718,693.50 : x
  2. Step 2: Convert to fraction form
    345,552.75/718,693.50 = 718,693.50/x
  3. Step 3: Cross multiply
    345,552.75x = 718,693.50 × 718,693.50
  4. Step 4: Simplify right side
    345,552.75x = 516,520,346,942.25
  5. Step 5: Solve for x
    x = 516,520,346,942.25/345,552.75
  6. Step 6: Final answer
    x = 1,494,765.55

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.