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Finding the Third Proportional to 143,546 and 205,477

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Solution

The third proportional to 143,546 and 205,477 is: 294,127.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,546 : 205,477 = 205,477 : x
  2. Step 2: Convert to fraction form
    143,546/205,477 = 205,477/x
  3. Step 3: Cross multiply
    143,546x = 205,477 × 205,477
  4. Step 4: Simplify right side
    143,546x = 42,220,797,529
  5. Step 5: Solve for x
    x = 42,220,797,529/143,546
  6. Step 6: Final answer
    x = 294,127.30

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.