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Finding the Third Proportional to 8,643 and 18,513

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Solution

The third proportional to 8,643 and 18,513 is: 39,654.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,643 : 18,513 = 18,513 : x
  2. Step 2: Convert to fraction form
    8,643/18,513 = 18,513/x
  3. Step 3: Cross multiply
    8,643x = 18,513 × 18,513
  4. Step 4: Simplify right side
    8,643x = 342,731,169
  5. Step 5: Solve for x
    x = 342,731,169/8,643
  6. Step 6: Final answer
    x = 39,654.19

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.