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Finding the Third Proportional to 321,992 and 510,600

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Solution

The third proportional to 321,992 and 510,600 is: 809,685.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,992 : 510,600 = 510,600 : x
  2. Step 2: Convert to fraction form
    321,992/510,600 = 510,600/x
  3. Step 3: Cross multiply
    321,992x = 510,600 × 510,600
  4. Step 4: Simplify right side
    321,992x = 260,712,360,000
  5. Step 5: Solve for x
    x = 260,712,360,000/321,992
  6. Step 6: Final answer
    x = 809,685.83

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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.