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Finding the Third Proportional to 122,711 and 256,539

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Solution

The third proportional to 122,711 and 256,539 is: 536,319.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,711 : 256,539 = 256,539 : x
  2. Step 2: Convert to fraction form
    122,711/256,539 = 256,539/x
  3. Step 3: Cross multiply
    122,711x = 256,539 × 256,539
  4. Step 4: Simplify right side
    122,711x = 65,812,258,521
  5. Step 5: Solve for x
    x = 65,812,258,521/122,711
  6. Step 6: Final answer
    x = 536,319.14

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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.