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Finding the Third Proportional to 70,635 and 147,021

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Solution

The third proportional to 70,635 and 147,021 is: 306,012.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,635 : 147,021 = 147,021 : x
  2. Step 2: Convert to fraction form
    70,635/147,021 = 147,021/x
  3. Step 3: Cross multiply
    70,635x = 147,021 × 147,021
  4. Step 4: Simplify right side
    70,635x = 21,615,174,441
  5. Step 5: Solve for x
    x = 21,615,174,441/70,635
  6. Step 6: Final answer
    x = 306,012.24

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.