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Finding the Third Proportional to 11,666.53 and 15,312.80

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Solution

The third proportional to 11,666.53 and 15,312.80 is: 20,098.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,666.53 : 15,312.80 = 15,312.80 : x
  2. Step 2: Convert to fraction form
    11,666.53/15,312.80 = 15,312.80/x
  3. Step 3: Cross multiply
    11,666.53x = 15,312.80 × 15,312.80
  4. Step 4: Simplify right side
    11,666.53x = 234,481,748.14
  5. Step 5: Solve for x
    x = 234,481,748.14/11,666.53
  6. Step 6: Final answer
    x = 20,098.67

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.