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Finding the Third Proportional to 308,343.28 and 742,833.61

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Solution

The third proportional to 308,343.28 and 742,833.61 is: 1,789,569.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,343.28 : 742,833.61 = 742,833.61 : x
  2. Step 2: Convert to fraction form
    308,343.28/742,833.61 = 742,833.61/x
  3. Step 3: Cross multiply
    308,343.28x = 742,833.61 × 742,833.61
  4. Step 4: Simplify right side
    308,343.28x = 551,801,771,217.09
  5. Step 5: Solve for x
    x = 551,801,771,217.09/308,343.28
  6. Step 6: Final answer
    x = 1,789,569.63

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.