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Finding the Third Proportional to 119,373 and 257,425

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Solution

The third proportional to 119,373 and 257,425 is: 555,130.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,373 : 257,425 = 257,425 : x
  2. Step 2: Convert to fraction form
    119,373/257,425 = 257,425/x
  3. Step 3: Cross multiply
    119,373x = 257,425 × 257,425
  4. Step 4: Simplify right side
    119,373x = 66,267,630,625
  5. Step 5: Solve for x
    x = 66,267,630,625/119,373
  6. Step 6: Final answer
    x = 555,130.81

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.