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Finding the Third Proportional to 326,909 and 499,877

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Solution

The third proportional to 326,909 and 499,877 is: 764,362.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,909 : 499,877 = 499,877 : x
  2. Step 2: Convert to fraction form
    326,909/499,877 = 499,877/x
  3. Step 3: Cross multiply
    326,909x = 499,877 × 499,877
  4. Step 4: Simplify right side
    326,909x = 249,877,015,129
  5. Step 5: Solve for x
    x = 249,877,015,129/326,909
  6. Step 6: Final answer
    x = 764,362.61

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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.