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Finding the Third Proportional to 143,611.50 and 306,771

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Solution

The third proportional to 143,611.50 and 306,771 is: 655,298.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,611.50 : 306,771 = 306,771 : x
  2. Step 2: Convert to fraction form
    143,611.50/306,771 = 306,771/x
  3. Step 3: Cross multiply
    143,611.50x = 306,771 × 306,771
  4. Step 4: Simplify right side
    143,611.50x = 94,108,446,441
  5. Step 5: Solve for x
    x = 94,108,446,441/143,611.50
  6. Step 6: Final answer
    x = 655,298.82

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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.