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Finding the Third Proportional to 319,446 and 479,178

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Solution

The third proportional to 319,446 and 479,178 is: 718,780.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,446 : 479,178 = 479,178 : x
  2. Step 2: Convert to fraction form
    319,446/479,178 = 479,178/x
  3. Step 3: Cross multiply
    319,446x = 479,178 × 479,178
  4. Step 4: Simplify right side
    319,446x = 229,611,555,684
  5. Step 5: Solve for x
    x = 229,611,555,684/319,446
  6. Step 6: Final answer
    x = 718,780.50

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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.