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Finding the Third Proportional to 147,758 and 326,620

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Solution

The third proportional to 147,758 and 326,620 is: 721,995.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,758 : 326,620 = 326,620 : x
  2. Step 2: Convert to fraction form
    147,758/326,620 = 326,620/x
  3. Step 3: Cross multiply
    147,758x = 326,620 × 326,620
  4. Step 4: Simplify right side
    147,758x = 106,680,624,400
  5. Step 5: Solve for x
    x = 106,680,624,400/147,758
  6. Step 6: Final answer
    x = 721,995.59

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.