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Finding the Third Proportional to 122,992 and 256,473

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Solution

The third proportional to 122,992 and 256,473 is: 534,818.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,992 : 256,473 = 256,473 : x
  2. Step 2: Convert to fraction form
    122,992/256,473 = 256,473/x
  3. Step 3: Cross multiply
    122,992x = 256,473 × 256,473
  4. Step 4: Simplify right side
    122,992x = 65,778,399,729
  5. Step 5: Solve for x
    x = 65,778,399,729/122,992
  6. Step 6: Final answer
    x = 534,818.52

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.