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Finding the Third Proportional to 129,653 and 268,306

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Solution

The third proportional to 129,653 and 268,306 is: 555,236.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,653 : 268,306 = 268,306 : x
  2. Step 2: Convert to fraction form
    129,653/268,306 = 268,306/x
  3. Step 3: Cross multiply
    129,653x = 268,306 × 268,306
  4. Step 4: Simplify right side
    129,653x = 71,988,109,636
  5. Step 5: Solve for x
    x = 71,988,109,636/129,653
  6. Step 6: Final answer
    x = 555,236.74

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.