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Finding the Third Proportional to 478,974 and 718,530

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Solution

The third proportional to 478,974 and 718,530 is: 1,077,898.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    478,974 : 718,530 = 718,530 : x
  2. Step 2: Convert to fraction form
    478,974/718,530 = 718,530/x
  3. Step 3: Cross multiply
    478,974x = 718,530 × 718,530
  4. Step 4: Simplify right side
    478,974x = 516,285,360,900
  5. Step 5: Solve for x
    x = 516,285,360,900/478,974
  6. Step 6: Final answer
    x = 1,077,898.51

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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.