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Finding the Third Proportional to 456,717 and 638,516

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Solution

The third proportional to 456,717 and 638,516 is: 892,681.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,717 : 638,516 = 638,516 : x
  2. Step 2: Convert to fraction form
    456,717/638,516 = 638,516/x
  3. Step 3: Cross multiply
    456,717x = 638,516 × 638,516
  4. Step 4: Simplify right side
    456,717x = 407,702,682,256
  5. Step 5: Solve for x
    x = 407,702,682,256/456,717
  6. Step 6: Final answer
    x = 892,681.21

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.