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Finding the Third Proportional to 353,218 and 756,940

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Solution

The third proportional to 353,218 and 756,940 is: 1,622,109.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    353,218 : 756,940 = 756,940 : x
  2. Step 2: Convert to fraction form
    353,218/756,940 = 756,940/x
  3. Step 3: Cross multiply
    353,218x = 756,940 × 756,940
  4. Step 4: Simplify right side
    353,218x = 572,958,163,600
  5. Step 5: Solve for x
    x = 572,958,163,600/353,218
  6. Step 6: Final answer
    x = 1,622,109.19

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.