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Finding the Third Proportional to 8,345 and 15,639

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Solution

The third proportional to 8,345 and 15,639 is: 29,308.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,345 : 15,639 = 15,639 : x
  2. Step 2: Convert to fraction form
    8,345/15,639 = 15,639/x
  3. Step 3: Cross multiply
    8,345x = 15,639 × 15,639
  4. Step 4: Simplify right side
    8,345x = 244,578,321
  5. Step 5: Solve for x
    x = 244,578,321/8,345
  6. Step 6: Final answer
    x = 29,308.37

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Why These Related Problems?

These problems maintain the same ratio (1.87) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.