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Finding the Third Proportional to 331,819.75 and 512,398.25

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Solution

The third proportional to 331,819.75 and 512,398.25 is: 791,248.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,819.75 : 512,398.25 = 512,398.25 : x
  2. Step 2: Convert to fraction form
    331,819.75/512,398.25 = 512,398.25/x
  3. Step 3: Cross multiply
    331,819.75x = 512,398.25 × 512,398.25
  4. Step 4: Simplify right side
    331,819.75x = 262,551,966,603.06
  5. Step 5: Solve for x
    x = 262,551,966,603.06/331,819.75
  6. Step 6: Final answer
    x = 791,248.76

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.