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Finding the Third Proportional to 199,508 and 430,666

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Solution

The third proportional to 199,508 and 430,666 is: 929,652.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,508 : 430,666 = 430,666 : x
  2. Step 2: Convert to fraction form
    199,508/430,666 = 430,666/x
  3. Step 3: Cross multiply
    199,508x = 430,666 × 430,666
  4. Step 4: Simplify right side
    199,508x = 185,473,203,556
  5. Step 5: Solve for x
    x = 185,473,203,556/199,508
  6. Step 6: Final answer
    x = 929,652.96

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.