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Finding the Third Proportional to 284,538 and 426,069

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Solution

The third proportional to 284,538 and 426,069 is: 637,998.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,538 : 426,069 = 426,069 : x
  2. Step 2: Convert to fraction form
    284,538/426,069 = 426,069/x
  3. Step 3: Cross multiply
    284,538x = 426,069 × 426,069
  4. Step 4: Simplify right side
    284,538x = 181,534,792,761
  5. Step 5: Solve for x
    x = 181,534,792,761/284,538
  6. Step 6: Final answer
    x = 637,998.41

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.