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Finding the Third Proportional to 10,133.50 and 15,159.25

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Solution

The third proportional to 10,133.50 and 15,159.25 is: 22,677.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,133.50 : 15,159.25 = 15,159.25 : x
  2. Step 2: Convert to fraction form
    10,133.50/15,159.25 = 15,159.25/x
  3. Step 3: Cross multiply
    10,133.50x = 15,159.25 × 15,159.25
  4. Step 4: Simplify right side
    10,133.50x = 229,802,860.56
  5. Step 5: Solve for x
    x = 229,802,860.56/10,133.50
  6. Step 6: Final answer
    x = 22,677.54

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.