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Finding the Third Proportional to 326,900 and 499,863

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Solution

The third proportional to 326,900 and 499,863 is: 764,340.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,900 : 499,863 = 499,863 : x
  2. Step 2: Convert to fraction form
    326,900/499,863 = 499,863/x
  3. Step 3: Cross multiply
    326,900x = 499,863 × 499,863
  4. Step 4: Simplify right side
    326,900x = 249,863,018,769
  5. Step 5: Solve for x
    x = 249,863,018,769/326,900
  6. Step 6: Final answer
    x = 764,340.83

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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.