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Finding the Third Proportional to 13,508 and 16,316

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Solution

The third proportional to 13,508 and 16,316 is: 19,707.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,508 : 16,316 = 16,316 : x
  2. Step 2: Convert to fraction form
    13,508/16,316 = 16,316/x
  3. Step 3: Cross multiply
    13,508x = 16,316 × 16,316
  4. Step 4: Simplify right side
    13,508x = 266,211,856
  5. Step 5: Solve for x
    x = 266,211,856/13,508
  6. Step 6: Final answer
    x = 19,707.72

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Why These Related Problems?

These problems maintain the same ratio (1.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.