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Finding the Third Proportional to 324,408 and 516,590

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Solution

The third proportional to 324,408 and 516,590 is: 822,622.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,408 : 516,590 = 516,590 : x
  2. Step 2: Convert to fraction form
    324,408/516,590 = 516,590/x
  3. Step 3: Cross multiply
    324,408x = 516,590 × 516,590
  4. Step 4: Simplify right side
    324,408x = 266,865,228,100
  5. Step 5: Solve for x
    x = 266,865,228,100/324,408
  6. Step 6: Final answer
    x = 822,622.22

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.