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Finding the Third Proportional to 161,388 and 344,739

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Solution

The third proportional to 161,388 and 344,739 is: 736,392.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,388 : 344,739 = 344,739 : x
  2. Step 2: Convert to fraction form
    161,388/344,739 = 344,739/x
  3. Step 3: Cross multiply
    161,388x = 344,739 × 344,739
  4. Step 4: Simplify right side
    161,388x = 118,844,978,121
  5. Step 5: Solve for x
    x = 118,844,978,121/161,388
  6. Step 6: Final answer
    x = 736,392.90

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.