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Finding the Third Proportional to 7,109 and 16,526.50

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Solution

The third proportional to 7,109 and 16,526.50 is: 38,419.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,109 : 16,526.50 = 16,526.50 : x
  2. Step 2: Convert to fraction form
    7,109/16,526.50 = 16,526.50/x
  3. Step 3: Cross multiply
    7,109x = 16,526.50 × 16,526.50
  4. Step 4: Simplify right side
    7,109x = 273,125,202.25
  5. Step 5: Solve for x
    x = 273,125,202.25/7,109
  6. Step 6: Final answer
    x = 38,419.64

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.