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Finding the Third Proportional to 8,643.94 and 13,045.36

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Solution

The third proportional to 8,643.94 and 13,045.36 is: 19,687.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,643.94 : 13,045.36 = 13,045.36 : x
  2. Step 2: Convert to fraction form
    8,643.94/13,045.36 = 13,045.36/x
  3. Step 3: Cross multiply
    8,643.94x = 13,045.36 × 13,045.36
  4. Step 4: Simplify right side
    8,643.94x = 170,181,401.22
  5. Step 5: Solve for x
    x = 170,181,401.22/8,643.94
  6. Step 6: Final answer
    x = 19,687.95

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.