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Finding the Third Proportional to 326,935.50 and 689,367

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Solution

The third proportional to 326,935.50 and 689,367 is: 1,453,579.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,935.50 : 689,367 = 689,367 : x
  2. Step 2: Convert to fraction form
    326,935.50/689,367 = 689,367/x
  3. Step 3: Cross multiply
    326,935.50x = 689,367 × 689,367
  4. Step 4: Simplify right side
    326,935.50x = 475,226,860,689
  5. Step 5: Solve for x
    x = 475,226,860,689/326,935.50
  6. Step 6: Final answer
    x = 1,453,579.87

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.