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Finding the Third Proportional to 356,341.78 and 768,383.72

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Solution

The third proportional to 356,341.78 and 768,383.72 is: 1,656,874.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,341.78 : 768,383.72 = 768,383.72 : x
  2. Step 2: Convert to fraction form
    356,341.78/768,383.72 = 768,383.72/x
  3. Step 3: Cross multiply
    356,341.78x = 768,383.72 × 768,383.72
  4. Step 4: Simplify right side
    356,341.78x = 590,413,539,240.08
  5. Step 5: Solve for x
    x = 590,413,539,240.08/356,341.78
  6. Step 6: Final answer
    x = 1,656,874.30

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.