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Finding the Third Proportional to 257,354 and 371,267

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Solution

The third proportional to 257,354 and 371,267 is: 535,601.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,354 : 371,267 = 371,267 : x
  2. Step 2: Convert to fraction form
    257,354/371,267 = 371,267/x
  3. Step 3: Cross multiply
    257,354x = 371,267 × 371,267
  4. Step 4: Simplify right side
    257,354x = 137,839,185,289
  5. Step 5: Solve for x
    x = 137,839,185,289/257,354
  6. Step 6: Final answer
    x = 535,601.49

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.