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Finding the Third Proportional to 257,168 and 552,604

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Solution

The third proportional to 257,168 and 552,604 is: 1,187,438.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,168 : 552,604 = 552,604 : x
  2. Step 2: Convert to fraction form
    257,168/552,604 = 552,604/x
  3. Step 3: Cross multiply
    257,168x = 552,604 × 552,604
  4. Step 4: Simplify right side
    257,168x = 305,371,180,816
  5. Step 5: Solve for x
    x = 305,371,180,816/257,168
  6. Step 6: Final answer
    x = 1,187,438.49

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.