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Finding the Third Proportional to 308,345 and 742,838

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Solution

The third proportional to 308,345 and 742,838 is: 1,789,580.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,345 : 742,838 = 742,838 : x
  2. Step 2: Convert to fraction form
    308,345/742,838 = 742,838/x
  3. Step 3: Cross multiply
    308,345x = 742,838 × 742,838
  4. Step 4: Simplify right side
    308,345x = 551,808,294,244
  5. Step 5: Solve for x
    x = 551,808,294,244/308,345
  6. Step 6: Final answer
    x = 1,789,580.81

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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.