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Finding the Third Proportional to 384,115.50 and 509,712.75

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Solution

The third proportional to 384,115.50 and 509,712.75 is: 676,377.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,115.50 : 509,712.75 = 509,712.75 : x
  2. Step 2: Convert to fraction form
    384,115.50/509,712.75 = 509,712.75/x
  3. Step 3: Cross multiply
    384,115.50x = 509,712.75 × 509,712.75
  4. Step 4: Simplify right side
    384,115.50x = 259,807,087,512.56
  5. Step 5: Solve for x
    x = 259,807,087,512.56/384,115.50
  6. Step 6: Final answer
    x = 676,377.52

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.