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Finding the Third Proportional to 199,518 and 430,689

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Solution

The third proportional to 199,518 and 430,689 is: 929,705.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,518 : 430,689 = 430,689 : x
  2. Step 2: Convert to fraction form
    199,518/430,689 = 430,689/x
  3. Step 3: Cross multiply
    199,518x = 430,689 × 430,689
  4. Step 4: Simplify right side
    199,518x = 185,493,014,721
  5. Step 5: Solve for x
    x = 185,493,014,721/199,518
  6. Step 6: Final answer
    x = 929,705.66

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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.