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Finding the Third Proportional to 7,892 and 16,312

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Solution

The third proportional to 7,892 and 16,312 is: 33,715.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,892 : 16,312 = 16,312 : x
  2. Step 2: Convert to fraction form
    7,892/16,312 = 16,312/x
  3. Step 3: Cross multiply
    7,892x = 16,312 × 16,312
  4. Step 4: Simplify right side
    7,892x = 266,081,344
  5. Step 5: Solve for x
    x = 266,081,344/7,892
  6. Step 6: Final answer
    x = 33,715.32

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.