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Finding the Third Proportional to 147,609 and 305,721

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Solution

The third proportional to 147,609 and 305,721 is: 633,195.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,609 : 305,721 = 305,721 : x
  2. Step 2: Convert to fraction form
    147,609/305,721 = 305,721/x
  3. Step 3: Cross multiply
    147,609x = 305,721 × 305,721
  4. Step 4: Simplify right side
    147,609x = 93,465,329,841
  5. Step 5: Solve for x
    x = 93,465,329,841/147,609
  6. Step 6: Final answer
    x = 633,195.33

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.