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Finding the Third Proportional to 356,424.05 and 742,338.42

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Solution

The third proportional to 356,424.05 and 742,338.42 is: 1,546,097.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,424.05 : 742,338.42 = 742,338.42 : x
  2. Step 2: Convert to fraction form
    356,424.05/742,338.42 = 742,338.42/x
  3. Step 3: Cross multiply
    356,424.05x = 742,338.42 × 742,338.42
  4. Step 4: Simplify right side
    356,424.05x = 551,066,332,591.87
  5. Step 5: Solve for x
    x = 551,066,332,591.87/356,424.05
  6. Step 6: Final answer
    x = 1,546,097.51

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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.