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Finding the Third Proportional to 143,522 and 306,676

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Solution

The third proportional to 143,522 and 306,676 is: 655,301.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,522 : 306,676 = 306,676 : x
  2. Step 2: Convert to fraction form
    143,522/306,676 = 306,676/x
  3. Step 3: Cross multiply
    143,522x = 306,676 × 306,676
  4. Step 4: Simplify right side
    143,522x = 94,050,168,976
  5. Step 5: Solve for x
    x = 94,050,168,976/143,522
  6. Step 6: Final answer
    x = 655,301.41

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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.