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Finding the Third Proportional to 158,600 and 332,768

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Solution

The third proportional to 158,600 and 332,768 is: 698,200.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,600 : 332,768 = 332,768 : x
  2. Step 2: Convert to fraction form
    158,600/332,768 = 332,768/x
  3. Step 3: Cross multiply
    158,600x = 332,768 × 332,768
  4. Step 4: Simplify right side
    158,600x = 110,734,541,824
  5. Step 5: Solve for x
    x = 110,734,541,824/158,600
  6. Step 6: Final answer
    x = 698,200.14

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.