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Finding the Third Proportional to 15,903 and 30,609

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Solution

The third proportional to 15,903 and 30,609 is: 58,914.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,903 : 30,609 = 30,609 : x
  2. Step 2: Convert to fraction form
    15,903/30,609 = 30,609/x
  3. Step 3: Cross multiply
    15,903x = 30,609 × 30,609
  4. Step 4: Simplify right side
    15,903x = 936,910,881
  5. Step 5: Solve for x
    x = 936,910,881/15,903
  6. Step 6: Final answer
    x = 58,914.10

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Why These Related Problems?

These problems maintain the same ratio (1.92) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.