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Finding the Third Proportional to 122,776 and 268,974

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Solution

The third proportional to 122,776 and 268,974 is: 589,260.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,776 : 268,974 = 268,974 : x
  2. Step 2: Convert to fraction form
    122,776/268,974 = 268,974/x
  3. Step 3: Cross multiply
    122,776x = 268,974 × 268,974
  4. Step 4: Simplify right side
    122,776x = 72,347,012,676
  5. Step 5: Solve for x
    x = 72,347,012,676/122,776
  6. Step 6: Final answer
    x = 589,260.22

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.