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Finding the Third Proportional to 251,560.50 and 376,343

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Solution

The third proportional to 251,560.50 and 376,343 is: 563,021.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,560.50 : 376,343 = 376,343 : x
  2. Step 2: Convert to fraction form
    251,560.50/376,343 = 376,343/x
  3. Step 3: Cross multiply
    251,560.50x = 376,343 × 376,343
  4. Step 4: Simplify right side
    251,560.50x = 141,634,053,649
  5. Step 5: Solve for x
    x = 141,634,053,649/251,560.50
  6. Step 6: Final answer
    x = 563,021.83

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.