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Finding the Third Proportional to 143,611 and 306,769

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Solution

The third proportional to 143,611 and 306,769 is: 655,292.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,611 : 306,769 = 306,769 : x
  2. Step 2: Convert to fraction form
    143,611/306,769 = 306,769/x
  3. Step 3: Cross multiply
    143,611x = 306,769 × 306,769
  4. Step 4: Simplify right side
    143,611x = 94,107,219,361
  5. Step 5: Solve for x
    x = 94,107,219,361/143,611
  6. Step 6: Final answer
    x = 655,292.56

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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.