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Finding the Third Proportional to 356,744 and 742,864

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Solution

The third proportional to 356,744 and 742,864 is: 1,546,898.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,744 : 742,864 = 742,864 : x
  2. Step 2: Convert to fraction form
    356,744/742,864 = 742,864/x
  3. Step 3: Cross multiply
    356,744x = 742,864 × 742,864
  4. Step 4: Simplify right side
    356,744x = 551,846,922,496
  5. Step 5: Solve for x
    x = 551,846,922,496/356,744
  6. Step 6: Final answer
    x = 1,546,898.96

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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.