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Finding the Third Proportional to 143,620 and 306,790

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Solution

The third proportional to 143,620 and 306,790 is: 655,341.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,620 : 306,790 = 306,790 : x
  2. Step 2: Convert to fraction form
    143,620/306,790 = 306,790/x
  3. Step 3: Cross multiply
    143,620x = 306,790 × 306,790
  4. Step 4: Simplify right side
    143,620x = 94,120,104,100
  5. Step 5: Solve for x
    x = 94,120,104,100/143,620
  6. Step 6: Final answer
    x = 655,341.21

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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.