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Finding the Third Proportional to 11,697.50 and 15,176.50

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Solution

The third proportional to 11,697.50 and 15,176.50 is: 19,690.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,697.50 : 15,176.50 = 15,176.50 : x
  2. Step 2: Convert to fraction form
    11,697.50/15,176.50 = 15,176.50/x
  3. Step 3: Cross multiply
    11,697.50x = 15,176.50 × 15,176.50
  4. Step 4: Simplify right side
    11,697.50x = 230,326,152.25
  5. Step 5: Solve for x
    x = 230,326,152.25/11,697.50
  6. Step 6: Final answer
    x = 19,690.20

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Why These Related Problems?

These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.