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Finding the Third Proportional to 271,469 and 430,213

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Solution

The third proportional to 271,469 and 430,213 is: 681,784.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,469 : 430,213 = 430,213 : x
  2. Step 2: Convert to fraction form
    271,469/430,213 = 430,213/x
  3. Step 3: Cross multiply
    271,469x = 430,213 × 430,213
  4. Step 4: Simplify right side
    271,469x = 185,083,225,369
  5. Step 5: Solve for x
    x = 185,083,225,369/271,469
  6. Step 6: Final answer
    x = 681,784.02

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.