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Finding the Third Proportional to 199,478 and 430,660

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Solution

The third proportional to 199,478 and 430,660 is: 929,766.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,478 : 430,660 = 430,660 : x
  2. Step 2: Convert to fraction form
    199,478/430,660 = 430,660/x
  3. Step 3: Cross multiply
    199,478x = 430,660 × 430,660
  4. Step 4: Simplify right side
    199,478x = 185,468,035,600
  5. Step 5: Solve for x
    x = 185,468,035,600/199,478
  6. Step 6: Final answer
    x = 929,766.87

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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.