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Finding the Third Proportional to 161,145 and 347,913

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Solution

The third proportional to 161,145 and 347,913 is: 751,146.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,145 : 347,913 = 347,913 : x
  2. Step 2: Convert to fraction form
    161,145/347,913 = 347,913/x
  3. Step 3: Cross multiply
    161,145x = 347,913 × 347,913
  4. Step 4: Simplify right side
    161,145x = 121,043,455,569
  5. Step 5: Solve for x
    x = 121,043,455,569/161,145
  6. Step 6: Final answer
    x = 751,146.21

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.