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Finding the Third Proportional to 14,429 and 31,485

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Solution

The third proportional to 14,429 and 31,485 is: 68,702.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,429 : 31,485 = 31,485 : x
  2. Step 2: Convert to fraction form
    14,429/31,485 = 31,485/x
  3. Step 3: Cross multiply
    14,429x = 31,485 × 31,485
  4. Step 4: Simplify right side
    14,429x = 991,305,225
  5. Step 5: Solve for x
    x = 991,305,225/14,429
  6. Step 6: Final answer
    x = 68,702.28

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.