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Finding the Third Proportional to 453,069 and 679,559

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Solution

The third proportional to 453,069 and 679,559 is: 1,019,271.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    453,069 : 679,559 = 679,559 : x
  2. Step 2: Convert to fraction form
    453,069/679,559 = 679,559/x
  3. Step 3: Cross multiply
    453,069x = 679,559 × 679,559
  4. Step 4: Simplify right side
    453,069x = 461,800,434,481
  5. Step 5: Solve for x
    x = 461,800,434,481/453,069
  6. Step 6: Final answer
    x = 1,019,271.75

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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.