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Finding the Third Proportional to 9,645 and 11,089.50

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Solution

The third proportional to 9,645 and 11,089.50 is: 12,750.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,645 : 11,089.50 = 11,089.50 : x
  2. Step 2: Convert to fraction form
    9,645/11,089.50 = 11,089.50/x
  3. Step 3: Cross multiply
    9,645x = 11,089.50 × 11,089.50
  4. Step 4: Simplify right side
    9,645x = 122,977,010.25
  5. Step 5: Solve for x
    x = 122,977,010.25/9,645
  6. Step 6: Final answer
    x = 12,750.34

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Why These Related Problems?

These problems maintain the same ratio (1.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.