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Finding the Third Proportional to 30,172 and 43,299

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Solution

The third proportional to 30,172 and 43,299 is: 62,137.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,172 : 43,299 = 43,299 : x
  2. Step 2: Convert to fraction form
    30,172/43,299 = 43,299/x
  3. Step 3: Cross multiply
    30,172x = 43,299 × 43,299
  4. Step 4: Simplify right side
    30,172x = 1,874,803,401
  5. Step 5: Solve for x
    x = 1,874,803,401/30,172
  6. Step 6: Final answer
    x = 62,137.19

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.