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Finding the Third Proportional to 435,026 and 638,163

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Solution

The third proportional to 435,026 and 638,163 is: 936,155.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    435,026 : 638,163 = 638,163 : x
  2. Step 2: Convert to fraction form
    435,026/638,163 = 638,163/x
  3. Step 3: Cross multiply
    435,026x = 638,163 × 638,163
  4. Step 4: Simplify right side
    435,026x = 407,252,014,569
  5. Step 5: Solve for x
    x = 407,252,014,569/435,026
  6. Step 6: Final answer
    x = 936,155.57

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.