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Finding the Third Proportional to 326,926 and 490,717

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Solution

The third proportional to 326,926 and 490,717 is: 736,567.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,926 : 490,717 = 490,717 : x
  2. Step 2: Convert to fraction form
    326,926/490,717 = 490,717/x
  3. Step 3: Cross multiply
    326,926x = 490,717 × 490,717
  4. Step 4: Simplify right side
    326,926x = 240,803,174,089
  5. Step 5: Solve for x
    x = 240,803,174,089/326,926
  6. Step 6: Final answer
    x = 736,567.83

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.