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Finding the Third Proportional to 15,747 and 34,356

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Solution

The third proportional to 15,747 and 34,356 is: 74,956.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,747 : 34,356 = 34,356 : x
  2. Step 2: Convert to fraction form
    15,747/34,356 = 34,356/x
  3. Step 3: Cross multiply
    15,747x = 34,356 × 34,356
  4. Step 4: Simplify right side
    15,747x = 1,180,334,736
  5. Step 5: Solve for x
    x = 1,180,334,736/15,747
  6. Step 6: Final answer
    x = 74,956.17

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.