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Finding the Third Proportional to 319,422 and 479,142

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Solution

The third proportional to 319,422 and 479,142 is: 718,726.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,422 : 479,142 = 479,142 : x
  2. Step 2: Convert to fraction form
    319,422/479,142 = 479,142/x
  3. Step 3: Cross multiply
    319,422x = 479,142 × 479,142
  4. Step 4: Simplify right side
    319,422x = 229,577,056,164
  5. Step 5: Solve for x
    x = 229,577,056,164/319,422
  6. Step 6: Final answer
    x = 718,726.50

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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.