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Finding the Third Proportional to 479,142 and 718,722

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Solution

The third proportional to 479,142 and 718,722 is: 1,078,096.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    479,142 : 718,722 = 718,722 : x
  2. Step 2: Convert to fraction form
    479,142/718,722 = 718,722/x
  3. Step 3: Cross multiply
    479,142x = 718,722 × 718,722
  4. Step 4: Simplify right side
    479,142x = 516,561,313,284
  5. Step 5: Solve for x
    x = 516,561,313,284/479,142
  6. Step 6: Final answer
    x = 1,078,096.50

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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.