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Finding the Third Proportional to 201,257 and 430,695

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Solution

The third proportional to 201,257 and 430,695 is: 921,698.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,257 : 430,695 = 430,695 : x
  2. Step 2: Convert to fraction form
    201,257/430,695 = 430,695/x
  3. Step 3: Cross multiply
    201,257x = 430,695 × 430,695
  4. Step 4: Simplify right side
    201,257x = 185,498,183,025
  5. Step 5: Solve for x
    x = 185,498,183,025/201,257
  6. Step 6: Final answer
    x = 921,698.04

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.