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Finding the Third Proportional to 253,100 and 513,472

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Solution

The third proportional to 253,100 and 513,472 is: 1,041,696.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,100 : 513,472 = 513,472 : x
  2. Step 2: Convert to fraction form
    253,100/513,472 = 513,472/x
  3. Step 3: Cross multiply
    253,100x = 513,472 × 513,472
  4. Step 4: Simplify right side
    253,100x = 263,653,494,784
  5. Step 5: Solve for x
    x = 263,653,494,784/253,100
  6. Step 6: Final answer
    x = 1,041,696.94

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.