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Finding the Third Proportional to 424,467 and 642,168

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Solution

The third proportional to 424,467 and 642,168 is: 971,523.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    424,467 : 642,168 = 642,168 : x
  2. Step 2: Convert to fraction form
    424,467/642,168 = 642,168/x
  3. Step 3: Cross multiply
    424,467x = 642,168 × 642,168
  4. Step 4: Simplify right side
    424,467x = 412,379,740,224
  5. Step 5: Solve for x
    x = 412,379,740,224/424,467
  6. Step 6: Final answer
    x = 971,523.68

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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.