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Finding the Third Proportional to 329,630 and 699,724

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Solution

The third proportional to 329,630 and 699,724 is: 1,485,343.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,630 : 699,724 = 699,724 : x
  2. Step 2: Convert to fraction form
    329,630/699,724 = 699,724/x
  3. Step 3: Cross multiply
    329,630x = 699,724 × 699,724
  4. Step 4: Simplify right side
    329,630x = 489,613,676,176
  5. Step 5: Solve for x
    x = 489,613,676,176/329,630
  6. Step 6: Final answer
    x = 1,485,343.19

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.