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Finding the Third Proportional to 326,739 and 499,721

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Solution

The third proportional to 326,739 and 499,721 is: 764,283.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,739 : 499,721 = 499,721 : x
  2. Step 2: Convert to fraction form
    326,739/499,721 = 499,721/x
  3. Step 3: Cross multiply
    326,739x = 499,721 × 499,721
  4. Step 4: Simplify right side
    326,739x = 249,721,077,841
  5. Step 5: Solve for x
    x = 249,721,077,841/326,739
  6. Step 6: Final answer
    x = 764,283.05

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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.