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Finding the Third Proportional to 199,599 and 430,302

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Solution

The third proportional to 199,599 and 430,302 is: 927,659.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,599 : 430,302 = 430,302 : x
  2. Step 2: Convert to fraction form
    199,599/430,302 = 430,302/x
  3. Step 3: Cross multiply
    199,599x = 430,302 × 430,302
  4. Step 4: Simplify right side
    199,599x = 185,159,811,204
  5. Step 5: Solve for x
    x = 185,159,811,204/199,599
  6. Step 6: Final answer
    x = 927,659.01

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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.