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Finding the Third Proportional to 31,467 and 68,457

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Solution

The third proportional to 31,467 and 68,457 is: 148,929.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,467 : 68,457 = 68,457 : x
  2. Step 2: Convert to fraction form
    31,467/68,457 = 68,457/x
  3. Step 3: Cross multiply
    31,467x = 68,457 × 68,457
  4. Step 4: Simplify right side
    31,467x = 4,686,360,849
  5. Step 5: Solve for x
    x = 4,686,360,849/31,467
  6. Step 6: Final answer
    x = 148,929.38

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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.