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Finding the Third Proportional to 331,218 and 718,448

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Solution

The third proportional to 331,218 and 718,448 is: 1,558,392.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,218 : 718,448 = 718,448 : x
  2. Step 2: Convert to fraction form
    331,218/718,448 = 718,448/x
  3. Step 3: Cross multiply
    331,218x = 718,448 × 718,448
  4. Step 4: Simplify right side
    331,218x = 516,167,528,704
  5. Step 5: Solve for x
    x = 516,167,528,704/331,218
  6. Step 6: Final answer
    x = 1,558,392.14

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.