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Finding the Third Proportional to 319,430 and 479,105

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Solution

The third proportional to 319,430 and 479,105 is: 718,597.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,430 : 479,105 = 479,105 : x
  2. Step 2: Convert to fraction form
    319,430/479,105 = 479,105/x
  3. Step 3: Cross multiply
    319,430x = 479,105 × 479,105
  4. Step 4: Simplify right side
    319,430x = 229,541,601,025
  5. Step 5: Solve for x
    x = 229,541,601,025/319,430
  6. Step 6: Final answer
    x = 718,597.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.