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Finding the Third Proportional to 159,456 and 346,940

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Solution

The third proportional to 159,456 and 346,940 is: 754,862.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,456 : 346,940 = 346,940 : x
  2. Step 2: Convert to fraction form
    159,456/346,940 = 346,940/x
  3. Step 3: Cross multiply
    159,456x = 346,940 × 346,940
  4. Step 4: Simplify right side
    159,456x = 120,367,363,600
  5. Step 5: Solve for x
    x = 120,367,363,600/159,456
  6. Step 6: Final answer
    x = 754,862.56

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.