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Finding the Third Proportional to 7,842 and 12,603

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Solution

The third proportional to 7,842 and 12,603 is: 20,254.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,842 : 12,603 = 12,603 : x
  2. Step 2: Convert to fraction form
    7,842/12,603 = 12,603/x
  3. Step 3: Cross multiply
    7,842x = 12,603 × 12,603
  4. Step 4: Simplify right side
    7,842x = 158,835,609
  5. Step 5: Solve for x
    x = 158,835,609/7,842
  6. Step 6: Final answer
    x = 20,254.48

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.