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Finding the Third Proportional to 231,318 and 345,057

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Solution

The third proportional to 231,318 and 345,057 is: 514,721.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,318 : 345,057 = 345,057 : x
  2. Step 2: Convert to fraction form
    231,318/345,057 = 345,057/x
  3. Step 3: Cross multiply
    231,318x = 345,057 × 345,057
  4. Step 4: Simplify right side
    231,318x = 119,064,333,249
  5. Step 5: Solve for x
    x = 119,064,333,249/231,318
  6. Step 6: Final answer
    x = 514,721.44

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.