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Finding the Third Proportional to 15,316 and 16,724

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Solution

The third proportional to 15,316 and 16,724 is: 18,261.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,316 : 16,724 = 16,724 : x
  2. Step 2: Convert to fraction form
    15,316/16,724 = 16,724/x
  3. Step 3: Cross multiply
    15,316x = 16,724 × 16,724
  4. Step 4: Simplify right side
    15,316x = 279,692,176
  5. Step 5: Solve for x
    x = 279,692,176/15,316
  6. Step 6: Final answer
    x = 18,261.44

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Why These Related Problems?

These problems maintain the same ratio (1.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.