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Finding the Third Proportional to 120,723 and 257,040

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Solution

The third proportional to 120,723 and 257,040 is: 547,282.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,723 : 257,040 = 257,040 : x
  2. Step 2: Convert to fraction form
    120,723/257,040 = 257,040/x
  3. Step 3: Cross multiply
    120,723x = 257,040 × 257,040
  4. Step 4: Simplify right side
    120,723x = 66,069,561,600
  5. Step 5: Solve for x
    x = 66,069,561,600/120,723
  6. Step 6: Final answer
    x = 547,282.30

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.