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Finding the Third Proportional to 8,643 and 12,973

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Solution

The third proportional to 8,643 and 12,973 is: 19,472.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,643 : 12,973 = 12,973 : x
  2. Step 2: Convert to fraction form
    8,643/12,973 = 12,973/x
  3. Step 3: Cross multiply
    8,643x = 12,973 × 12,973
  4. Step 4: Simplify right side
    8,643x = 168,298,729
  5. Step 5: Solve for x
    x = 168,298,729/8,643
  6. Step 6: Final answer
    x = 19,472.26

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.