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Finding the Third Proportional to 9,966.80 and 17,985.80

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Solution

The third proportional to 9,966.80 and 17,985.80 is: 32,456.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,966.80 : 17,985.80 = 17,985.80 : x
  2. Step 2: Convert to fraction form
    9,966.80/17,985.80 = 17,985.80/x
  3. Step 3: Cross multiply
    9,966.80x = 17,985.80 × 17,985.80
  4. Step 4: Simplify right side
    9,966.80x = 323,488,889.23
  5. Step 5: Solve for x
    x = 323,488,889.23/9,966.80
  6. Step 6: Final answer
    x = 32,456.66

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Why These Related Problems?

These problems maintain the same ratio (1.80) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.