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Finding the Third Proportional to 199,510 and 430,670

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Solution

The third proportional to 199,510 and 430,670 is: 929,660.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,510 : 430,670 = 430,670 : x
  2. Step 2: Convert to fraction form
    199,510/430,670 = 430,670/x
  3. Step 3: Cross multiply
    199,510x = 430,670 × 430,670
  4. Step 4: Simplify right side
    199,510x = 185,476,648,900
  5. Step 5: Solve for x
    x = 185,476,648,900/199,510
  6. Step 6: Final answer
    x = 929,660.91

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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.