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Finding the Third Proportional to 356,864 and 512,940

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Solution

The third proportional to 356,864 and 512,940 is: 737,276.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,864 : 512,940 = 512,940 : x
  2. Step 2: Convert to fraction form
    356,864/512,940 = 512,940/x
  3. Step 3: Cross multiply
    356,864x = 512,940 × 512,940
  4. Step 4: Simplify right side
    356,864x = 263,107,443,600
  5. Step 5: Solve for x
    x = 263,107,443,600/356,864
  6. Step 6: Final answer
    x = 737,276.51

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.