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Finding the Third Proportional to 15,653 and 34,805

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Solution

The third proportional to 15,653 and 34,805 is: 77,390.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,653 : 34,805 = 34,805 : x
  2. Step 2: Convert to fraction form
    15,653/34,805 = 34,805/x
  3. Step 3: Cross multiply
    15,653x = 34,805 × 34,805
  4. Step 4: Simplify right side
    15,653x = 1,211,388,025
  5. Step 5: Solve for x
    x = 1,211,388,025/15,653
  6. Step 6: Final answer
    x = 77,390.15

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.