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Finding the Third Proportional to 9,132 and 14,101.50

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Solution

The third proportional to 9,132 and 14,101.50 is: 21,775.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,132 : 14,101.50 = 14,101.50 : x
  2. Step 2: Convert to fraction form
    9,132/14,101.50 = 14,101.50/x
  3. Step 3: Cross multiply
    9,132x = 14,101.50 × 14,101.50
  4. Step 4: Simplify right side
    9,132x = 198,852,302.25
  5. Step 5: Solve for x
    x = 198,852,302.25/9,132
  6. Step 6: Final answer
    x = 21,775.33

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.