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Finding the Third Proportional to 339,618 and 738,210

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Solution

The third proportional to 339,618 and 738,210 is: 1,604,608.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,618 : 738,210 = 738,210 : x
  2. Step 2: Convert to fraction form
    339,618/738,210 = 738,210/x
  3. Step 3: Cross multiply
    339,618x = 738,210 × 738,210
  4. Step 4: Simplify right side
    339,618x = 544,954,004,100
  5. Step 5: Solve for x
    x = 544,954,004,100/339,618
  6. Step 6: Final answer
    x = 1,604,608.72

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.