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Finding the Third Proportional to 479,142 and 718,653

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Solution

The third proportional to 479,142 and 718,653 is: 1,077,889.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    479,142 : 718,653 = 718,653 : x
  2. Step 2: Convert to fraction form
    479,142/718,653 = 718,653/x
  3. Step 3: Cross multiply
    479,142x = 718,653 × 718,653
  4. Step 4: Simplify right side
    479,142x = 516,462,134,409
  5. Step 5: Solve for x
    x = 516,462,134,409/479,142
  6. Step 6: Final answer
    x = 1,077,889.51

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