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Finding the Third Proportional to 136,218 and 268,943

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Solution

The third proportional to 136,218 and 268,943 is: 530,989.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,218 : 268,943 = 268,943 : x
  2. Step 2: Convert to fraction form
    136,218/268,943 = 268,943/x
  3. Step 3: Cross multiply
    136,218x = 268,943 × 268,943
  4. Step 4: Simplify right side
    136,218x = 72,330,337,249
  5. Step 5: Solve for x
    x = 72,330,337,249/136,218
  6. Step 6: Final answer
    x = 530,989.57

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.