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Finding the Third Proportional to 406,962 and 622,539

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Solution

The third proportional to 406,962 and 622,539 is: 952,312.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,962 : 622,539 = 622,539 : x
  2. Step 2: Convert to fraction form
    406,962/622,539 = 622,539/x
  3. Step 3: Cross multiply
    406,962x = 622,539 × 622,539
  4. Step 4: Simplify right side
    406,962x = 387,554,806,521
  5. Step 5: Solve for x
    x = 387,554,806,521/406,962
  6. Step 6: Final answer
    x = 952,312.03

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.