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Finding the Third Proportional to 308,845.41 and 721,539.14

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Solution

The third proportional to 308,845.41 and 721,539.14 is: 1,685,693.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,845.41 : 721,539.14 = 721,539.14 : x
  2. Step 2: Convert to fraction form
    308,845.41/721,539.14 = 721,539.14/x
  3. Step 3: Cross multiply
    308,845.41x = 721,539.14 × 721,539.14
  4. Step 4: Simplify right side
    308,845.41x = 520,618,731,453.86
  5. Step 5: Solve for x
    x = 520,618,731,453.86/308,845.41
  6. Step 6: Final answer
    x = 1,685,693.62

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.