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Finding the Third Proportional to 257,990 and 371,604

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Solution

The third proportional to 257,990 and 371,604 is: 535,251.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,990 : 371,604 = 371,604 : x
  2. Step 2: Convert to fraction form
    257,990/371,604 = 371,604/x
  3. Step 3: Cross multiply
    257,990x = 371,604 × 371,604
  4. Step 4: Simplify right side
    257,990x = 138,089,532,816
  5. Step 5: Solve for x
    x = 138,089,532,816/257,990
  6. Step 6: Final answer
    x = 535,251.49

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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.