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Finding the Third Proportional to 326,928 and 499,899

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Solution

The third proportional to 326,928 and 499,899 is: 764,385.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,928 : 499,899 = 499,899 : x
  2. Step 2: Convert to fraction form
    326,928/499,899 = 499,899/x
  3. Step 3: Cross multiply
    326,928x = 499,899 × 499,899
  4. Step 4: Simplify right side
    326,928x = 249,899,010,201
  5. Step 5: Solve for x
    x = 249,899,010,201/326,928
  6. Step 6: Final answer
    x = 764,385.46

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.