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Finding the Third Proportional to 8,636.63 and 13,775.06

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Solution

The third proportional to 8,636.63 and 13,775.06 is: 21,970.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,636.63 : 13,775.06 = 13,775.06 : x
  2. Step 2: Convert to fraction form
    8,636.63/13,775.06 = 13,775.06/x
  3. Step 3: Cross multiply
    8,636.63x = 13,775.06 × 13,775.06
  4. Step 4: Simplify right side
    8,636.63x = 189,752,346.88
  5. Step 5: Solve for x
    x = 189,752,346.88/8,636.63
  6. Step 6: Final answer
    x = 21,970.66

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.