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Finding the Third Proportional to 289,469 and 436,026

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Solution

The third proportional to 289,469 and 436,026 is: 656,784.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,469 : 436,026 = 436,026 : x
  2. Step 2: Convert to fraction form
    289,469/436,026 = 436,026/x
  3. Step 3: Cross multiply
    289,469x = 436,026 × 436,026
  4. Step 4: Simplify right side
    289,469x = 190,118,672,676
  5. Step 5: Solve for x
    x = 190,118,672,676/289,469
  6. Step 6: Final answer
    x = 656,784.22

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.