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Finding the Third Proportional to 382,040 and 517,004

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Solution

The third proportional to 382,040 and 517,004 is: 699,646.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,040 : 517,004 = 517,004 : x
  2. Step 2: Convert to fraction form
    382,040/517,004 = 517,004/x
  3. Step 3: Cross multiply
    382,040x = 517,004 × 517,004
  4. Step 4: Simplify right side
    382,040x = 267,293,136,016
  5. Step 5: Solve for x
    x = 267,293,136,016/382,040
  6. Step 6: Final answer
    x = 699,646.99

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.